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Finding the Fourth Proportional to 594.75, 820.83 and 429.51

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Solution

The fourth proportional to 594.75, 820.83 and 429.51 is: 592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.75 : 820.83 = 429.51 : x
  2. Step 2: Convert to fraction form
    594.75/820.83 = 429.51/x
  3. Step 3: Cross multiply
    594.75x = 820.83 × 429.51
  4. Step 4: Simplify right side
    594.75x = 352,554.69
  5. Step 5: Solve for x
    x = 352,554.69/594.75
  6. Step 6: Final answer
    x = 592.78

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Find fourth proportional to 297.38, 410.42 and 214.76
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.