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Finding the Fourth Proportional to 498.24, 747.84 and 306.56

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Solution

The fourth proportional to 498.24, 747.84 and 306.56 is: 460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.84 = 306.56 : x
  2. Step 2: Convert to fraction form
    498.24/747.84 = 306.56/x
  3. Step 3: Cross multiply
    498.24x = 747.84 × 306.56
  4. Step 4: Simplify right side
    498.24x = 229,257.83
  5. Step 5: Solve for x
    x = 229,257.83/498.24
  6. Step 6: Final answer
    x = 460.14

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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.