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Finding the Fourth Proportional to 549.46, 757.32 and 502.96

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Solution

The fourth proportional to 549.46, 757.32 and 502.96 is: 693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 757.32 = 502.96 : x
  2. Step 2: Convert to fraction form
    549.46/757.32 = 502.96/x
  3. Step 3: Cross multiply
    549.46x = 757.32 × 502.96
  4. Step 4: Simplify right side
    549.46x = 380,901.67
  5. Step 5: Solve for x
    x = 380,901.67/549.46
  6. Step 6: Final answer
    x = 693.23

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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.