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Finding the Fourth Proportional to 532.07, 801.91 and 502.30

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Solution

The fourth proportional to 532.07, 801.91 and 502.30 is: 757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.07 : 801.91 = 502.30 : x
  2. Step 2: Convert to fraction form
    532.07/801.91 = 502.30/x
  3. Step 3: Cross multiply
    532.07x = 801.91 × 502.30
  4. Step 4: Simplify right side
    532.07x = 402,795.38
  5. Step 5: Solve for x
    x = 402,795.38/532.07
  6. Step 6: Final answer
    x = 757.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.