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Finding the Fourth Proportional to 498.66, 747.97 and 224.67

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Solution

The fourth proportional to 498.66, 747.97 and 224.67 is: 337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 747.97 = 224.67 : x
  2. Step 2: Convert to fraction form
    498.66/747.97 = 224.67/x
  3. Step 3: Cross multiply
    498.66x = 747.97 × 224.67
  4. Step 4: Simplify right side
    498.66x = 168,048.66
  5. Step 5: Solve for x
    x = 168,048.66/498.66
  6. Step 6: Final answer
    x = 337.00

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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.