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Finding the Fourth Proportional to 534.49, 732.06 and 502.96

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Solution

The fourth proportional to 534.49, 732.06 and 502.96 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.49 : 732.06 = 502.96 : x
  2. Step 2: Convert to fraction form
    534.49/732.06 = 502.96/x
  3. Step 3: Cross multiply
    534.49x = 732.06 × 502.96
  4. Step 4: Simplify right side
    534.49x = 368,194.67
  5. Step 5: Solve for x
    x = 368,194.67/534.49
  6. Step 6: Final answer
    x = 688.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.