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Finding the Fourth Proportional to 498.35, 747.64 and 169.31

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Solution

The fourth proportional to 498.35, 747.64 and 169.31 is: 254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.35 : 747.64 = 169.31 : x
  2. Step 2: Convert to fraction form
    498.35/747.64 = 169.31/x
  3. Step 3: Cross multiply
    498.35x = 747.64 × 169.31
  4. Step 4: Simplify right side
    498.35x = 126,582.93
  5. Step 5: Solve for x
    x = 126,582.93/498.35
  6. Step 6: Final answer
    x = 254.00

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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.