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Finding the Fourth Proportional to 362.34, 542.36 and 232.17

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Solution

The fourth proportional to 362.34, 542.36 and 232.17 is: 347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 542.36 = 232.17 : x
  2. Step 2: Convert to fraction form
    362.34/542.36 = 232.17/x
  3. Step 3: Cross multiply
    362.34x = 542.36 × 232.17
  4. Step 4: Simplify right side
    362.34x = 125,918.27
  5. Step 5: Solve for x
    x = 125,918.27/362.34
  6. Step 6: Final answer
    x = 347.51

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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.