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Finding the Fourth Proportional to 498.88, 747.51 and 315.55

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Solution

The fourth proportional to 498.88, 747.51 and 315.55 is: 472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.88 : 747.51 = 315.55 : x
  2. Step 2: Convert to fraction form
    498.88/747.51 = 315.55/x
  3. Step 3: Cross multiply
    498.88x = 747.51 × 315.55
  4. Step 4: Simplify right side
    498.88x = 235,876.78
  5. Step 5: Solve for x
    x = 235,876.78/498.88
  6. Step 6: Final answer
    x = 472.81

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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.