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Finding the Fourth Proportional to 498.47, 748.52 and 307.31

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Solution

The fourth proportional to 498.47, 748.52 and 307.31 is: 461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.47 : 748.52 = 307.31 : x
  2. Step 2: Convert to fraction form
    498.47/748.52 = 307.31/x
  3. Step 3: Cross multiply
    498.47x = 748.52 × 307.31
  4. Step 4: Simplify right side
    498.47x = 230,026.14
  5. Step 5: Solve for x
    x = 230,026.14/498.47
  6. Step 6: Final answer
    x = 461.46

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