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Finding the Fourth Proportional to 502.94, 693.96 and 432.92

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Solution

The fourth proportional to 502.94, 693.96 and 432.92 is: 597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 693.96 = 432.92 : x
  2. Step 2: Convert to fraction form
    502.94/693.96 = 432.92/x
  3. Step 3: Cross multiply
    502.94x = 693.96 × 432.92
  4. Step 4: Simplify right side
    502.94x = 300,429.16
  5. Step 5: Solve for x
    x = 300,429.16/502.94
  6. Step 6: Final answer
    x = 597.35

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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.