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Finding the Fourth Proportional to 502.08, 748.69 and 467.46

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Solution

The fourth proportional to 502.08, 748.69 and 467.46 is: 697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.08 : 748.69 = 467.46 : x
  2. Step 2: Convert to fraction form
    502.08/748.69 = 467.46/x
  3. Step 3: Cross multiply
    502.08x = 748.69 × 467.46
  4. Step 4: Simplify right side
    502.08x = 349,982.63
  5. Step 5: Solve for x
    x = 349,982.63/502.08
  6. Step 6: Final answer
    x = 697.07

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