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Finding the Fourth Proportional to 498.37, 747.56 and 151.71

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Solution

The fourth proportional to 498.37, 747.56 and 151.71 is: 227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.37 : 747.56 = 151.71 : x
  2. Step 2: Convert to fraction form
    498.37/747.56 = 151.71/x
  3. Step 3: Cross multiply
    498.37x = 747.56 × 151.71
  4. Step 4: Simplify right side
    498.37x = 113,412.33
  5. Step 5: Solve for x
    x = 113,412.33/498.37
  6. Step 6: Final answer
    x = 227.57

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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.