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Finding the Fourth Proportional to 375.16, 562.17 and 252.97

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Solution

The fourth proportional to 375.16, 562.17 and 252.97 is: 379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.16 : 562.17 = 252.97 : x
  2. Step 2: Convert to fraction form
    375.16/562.17 = 252.97/x
  3. Step 3: Cross multiply
    375.16x = 562.17 × 252.97
  4. Step 4: Simplify right side
    375.16x = 142,212.14
  5. Step 5: Solve for x
    x = 142,212.14/375.16
  6. Step 6: Final answer
    x = 379.07

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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.