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Finding the Fourth Proportional to 498.06, 747.49 and 224.18

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Solution

The fourth proportional to 498.06, 747.49 and 224.18 is: 336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 747.49 = 224.18 : x
  2. Step 2: Convert to fraction form
    498.06/747.49 = 224.18/x
  3. Step 3: Cross multiply
    498.06x = 747.49 × 224.18
  4. Step 4: Simplify right side
    498.06x = 167,572.31
  5. Step 5: Solve for x
    x = 167,572.31/498.06
  6. Step 6: Final answer
    x = 336.45

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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.