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Finding the Fourth Proportional to 498.69, 748.14 and 174.08

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Solution

The fourth proportional to 498.69, 748.14 and 174.08 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 748.14 = 174.08 : x
  2. Step 2: Convert to fraction form
    498.69/748.14 = 174.08/x
  3. Step 3: Cross multiply
    498.69x = 748.14 × 174.08
  4. Step 4: Simplify right side
    498.69x = 130,237.43
  5. Step 5: Solve for x
    x = 130,237.43/498.69
  6. Step 6: Final answer
    x = 261.16

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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.