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Finding the Fourth Proportional to 498.72, 747.54 and 316.17

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Solution

The fourth proportional to 498.72, 747.54 and 316.17 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 747.54 = 316.17 : x
  2. Step 2: Convert to fraction form
    498.72/747.54 = 316.17/x
  3. Step 3: Cross multiply
    498.72x = 747.54 × 316.17
  4. Step 4: Simplify right side
    498.72x = 236,349.72
  5. Step 5: Solve for x
    x = 236,349.72/498.72
  6. Step 6: Final answer
    x = 473.91

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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.