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Finding the Fourth Proportional to 358.92, 537.17 and 254.23

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Solution

The fourth proportional to 358.92, 537.17 and 254.23 is: 380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.92 : 537.17 = 254.23 : x
  2. Step 2: Convert to fraction form
    358.92/537.17 = 254.23/x
  3. Step 3: Cross multiply
    358.92x = 537.17 × 254.23
  4. Step 4: Simplify right side
    358.92x = 136,562.12
  5. Step 5: Solve for x
    x = 136,562.12/358.92
  6. Step 6: Final answer
    x = 380.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.