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Finding the Fourth Proportional to 497.72, 746.87 and 224.03

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Solution

The fourth proportional to 497.72, 746.87 and 224.03 is: 336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.72 : 746.87 = 224.03 : x
  2. Step 2: Convert to fraction form
    497.72/746.87 = 224.03/x
  3. Step 3: Cross multiply
    497.72x = 746.87 × 224.03
  4. Step 4: Simplify right side
    497.72x = 167,316.43
  5. Step 5: Solve for x
    x = 167,316.43/497.72
  6. Step 6: Final answer
    x = 336.17

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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.