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Finding the Fourth Proportional to 424.72, 635.76 and 270.12

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Solution

The fourth proportional to 424.72, 635.76 and 270.12 is: 404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.72 : 635.76 = 270.12 : x
  2. Step 2: Convert to fraction form
    424.72/635.76 = 270.12/x
  3. Step 3: Cross multiply
    424.72x = 635.76 × 270.12
  4. Step 4: Simplify right side
    424.72x = 171,731.49
  5. Step 5: Solve for x
    x = 171,731.49/424.72
  6. Step 6: Final answer
    x = 404.34

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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.