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Finding the Fourth Proportional to 498.57, 747.69 and 238.41

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Solution

The fourth proportional to 498.57, 747.69 and 238.41 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.57 : 747.69 = 238.41 : x
  2. Step 2: Convert to fraction form
    498.57/747.69 = 238.41/x
  3. Step 3: Cross multiply
    498.57x = 747.69 × 238.41
  4. Step 4: Simplify right side
    498.57x = 178,256.77
  5. Step 5: Solve for x
    x = 178,256.77/498.57
  6. Step 6: Final answer
    x = 357.54

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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.