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Finding the Fourth Proportional to 594.73, 820.29 and 429.49

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Solution

The fourth proportional to 594.73, 820.29 and 429.49 is: 592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.73 : 820.29 = 429.49 : x
  2. Step 2: Convert to fraction form
    594.73/820.29 = 429.49/x
  3. Step 3: Cross multiply
    594.73x = 820.29 × 429.49
  4. Step 4: Simplify right side
    594.73x = 352,306.35
  5. Step 5: Solve for x
    x = 352,306.35/594.73
  6. Step 6: Final answer
    x = 592.38

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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.