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Finding the Fourth Proportional to 498.72, 746.96 and 483.52

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Solution

The fourth proportional to 498.72, 746.96 and 483.52 is: 724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 746.96 = 483.52 : x
  2. Step 2: Convert to fraction form
    498.72/746.96 = 483.52/x
  3. Step 3: Cross multiply
    498.72x = 746.96 × 483.52
  4. Step 4: Simplify right side
    498.72x = 361,170.10
  5. Step 5: Solve for x
    x = 361,170.10/498.72
  6. Step 6: Final answer
    x = 724.19

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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.