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Finding the Fourth Proportional to 498.31, 747.49 and 190.10

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Solution

The fourth proportional to 498.31, 747.49 and 190.10 is: 285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.31 : 747.49 = 190.10 : x
  2. Step 2: Convert to fraction form
    498.31/747.49 = 190.10/x
  3. Step 3: Cross multiply
    498.31x = 747.49 × 190.10
  4. Step 4: Simplify right side
    498.31x = 142,099.24
  5. Step 5: Solve for x
    x = 142,099.24/498.31
  6. Step 6: Final answer
    x = 285.16

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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.