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Finding the Fourth Proportional to 362.28, 542.61 and 240.24

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Solution

The fourth proportional to 362.28, 542.61 and 240.24 is: 359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 542.61 = 240.24 : x
  2. Step 2: Convert to fraction form
    362.28/542.61 = 240.24/x
  3. Step 3: Cross multiply
    362.28x = 542.61 × 240.24
  4. Step 4: Simplify right side
    362.28x = 130,356.63
  5. Step 5: Solve for x
    x = 130,356.63/362.28
  6. Step 6: Final answer
    x = 359.82

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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.