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Finding the Fourth Proportional to 498.44, 747.14 and 224.45

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Solution

The fourth proportional to 498.44, 747.14 and 224.45 is: 336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 747.14 = 224.45 : x
  2. Step 2: Convert to fraction form
    498.44/747.14 = 224.45/x
  3. Step 3: Cross multiply
    498.44x = 747.14 × 224.45
  4. Step 4: Simplify right side
    498.44x = 167,690.72
  5. Step 5: Solve for x
    x = 167,690.72/498.44
  6. Step 6: Final answer
    x = 336.43

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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.