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Finding the Fourth Proportional to 498.04, 748.32 and 315.52

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Solution

The fourth proportional to 498.04, 748.32 and 315.52 is: 474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.04 : 748.32 = 315.52 : x
  2. Step 2: Convert to fraction form
    498.04/748.32 = 315.52/x
  3. Step 3: Cross multiply
    498.04x = 748.32 × 315.52
  4. Step 4: Simplify right side
    498.04x = 236,104.61
  5. Step 5: Solve for x
    x = 236,104.61/498.04
  6. Step 6: Final answer
    x = 474.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.