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Finding the Fourth Proportional to 537.28, 799.54 and 502.88

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Solution

The fourth proportional to 537.28, 799.54 and 502.88 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.28 : 799.54 = 502.88 : x
  2. Step 2: Convert to fraction form
    537.28/799.54 = 502.88/x
  3. Step 3: Cross multiply
    537.28x = 799.54 × 502.88
  4. Step 4: Simplify right side
    537.28x = 402,072.68
  5. Step 5: Solve for x
    x = 402,072.68/537.28
  6. Step 6: Final answer
    x = 748.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.