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Finding the Fourth Proportional to 265.72, 397.38 and 217.24

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Solution

The fourth proportional to 265.72, 397.38 and 217.24 is: 324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.72 : 397.38 = 217.24 : x
  2. Step 2: Convert to fraction form
    265.72/397.38 = 217.24/x
  3. Step 3: Cross multiply
    265.72x = 397.38 × 217.24
  4. Step 4: Simplify right side
    265.72x = 86,326.83
  5. Step 5: Solve for x
    x = 86,326.83/265.72
  6. Step 6: Final answer
    x = 324.88

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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.