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Finding the Fourth Proportional to 362.40, 542.56 and 233.76

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Solution

The fourth proportional to 362.40, 542.56 and 233.76 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 542.56 = 233.76 : x
  2. Step 2: Convert to fraction form
    362.40/542.56 = 233.76/x
  3. Step 3: Cross multiply
    362.40x = 542.56 × 233.76
  4. Step 4: Simplify right side
    362.40x = 126,828.83
  5. Step 5: Solve for x
    x = 126,828.83/362.40
  6. Step 6: Final answer
    x = 349.97

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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.