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Finding the Fourth Proportional to 498.76, 747.60 and 306.52

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Solution

The fourth proportional to 498.76, 747.60 and 306.52 is: 459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.76 : 747.60 = 306.52 : x
  2. Step 2: Convert to fraction form
    498.76/747.60 = 306.52/x
  3. Step 3: Cross multiply
    498.76x = 747.60 × 306.52
  4. Step 4: Simplify right side
    498.76x = 229,154.35
  5. Step 5: Solve for x
    x = 229,154.35/498.76
  6. Step 6: Final answer
    x = 459.45

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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.