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Finding the Fourth Proportional to 498.72, 749.70 and 307.56

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Solution

The fourth proportional to 498.72, 749.70 and 307.56 is: 462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 749.70 = 307.56 : x
  2. Step 2: Convert to fraction form
    498.72/749.70 = 307.56/x
  3. Step 3: Cross multiply
    498.72x = 749.70 × 307.56
  4. Step 4: Simplify right side
    498.72x = 230,577.73
  5. Step 5: Solve for x
    x = 230,577.73/498.72
  6. Step 6: Final answer
    x = 462.34

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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.