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Finding the Fourth Proportional to 362.74, 542.75 and 215.95

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Solution

The fourth proportional to 362.74, 542.75 and 215.95 is: 323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.74 : 542.75 = 215.95 : x
  2. Step 2: Convert to fraction form
    362.74/542.75 = 215.95/x
  3. Step 3: Cross multiply
    362.74x = 542.75 × 215.95
  4. Step 4: Simplify right side
    362.74x = 117,206.32
  5. Step 5: Solve for x
    x = 117,206.32/362.74
  6. Step 6: Final answer
    x = 323.12

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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.