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Finding the Fourth Proportional to 594.81, 821.88 and 429.57

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Solution

The fourth proportional to 594.81, 821.88 and 429.57 is: 593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.81 : 821.88 = 429.57 : x
  2. Step 2: Convert to fraction form
    594.81/821.88 = 429.57/x
  3. Step 3: Cross multiply
    594.81x = 821.88 × 429.57
  4. Step 4: Simplify right side
    594.81x = 353,054.99
  5. Step 5: Solve for x
    x = 353,054.99/594.81
  6. Step 6: Final answer
    x = 593.56

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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.