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Finding the Fourth Proportional to 362.24, 542.82 and 216.04

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Solution

The fourth proportional to 362.24, 542.82 and 216.04 is: 323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 542.82 = 216.04 : x
  2. Step 2: Convert to fraction form
    362.24/542.82 = 216.04/x
  3. Step 3: Cross multiply
    362.24x = 542.82 × 216.04
  4. Step 4: Simplify right side
    362.24x = 117,270.83
  5. Step 5: Solve for x
    x = 117,270.83/362.24
  6. Step 6: Final answer
    x = 323.74

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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.