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Finding the Fourth Proportional to 498.96, 748.71 and 325.89

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Solution

The fourth proportional to 498.96, 748.71 and 325.89 is: 489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 748.71 = 325.89 : x
  2. Step 2: Convert to fraction form
    498.96/748.71 = 325.89/x
  3. Step 3: Cross multiply
    498.96x = 748.71 × 325.89
  4. Step 4: Simplify right side
    498.96x = 243,997.10
  5. Step 5: Solve for x
    x = 243,997.10/498.96
  6. Step 6: Final answer
    x = 489.01

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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.