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Finding the Fourth Proportional to 362.28, 542.40 and 275.97

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Solution

The fourth proportional to 362.28, 542.40 and 275.97 is: 413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 542.40 = 275.97 : x
  2. Step 2: Convert to fraction form
    362.28/542.40 = 275.97/x
  3. Step 3: Cross multiply
    362.28x = 542.40 × 275.97
  4. Step 4: Simplify right side
    362.28x = 149,686.13
  5. Step 5: Solve for x
    x = 149,686.13/362.28
  6. Step 6: Final answer
    x = 413.18

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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.