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Finding the Fourth Proportional to 362.54, 542.76 and 213.84

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Solution

The fourth proportional to 362.54, 542.76 and 213.84 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.54 : 542.76 = 213.84 : x
  2. Step 2: Convert to fraction form
    362.54/542.76 = 213.84/x
  3. Step 3: Cross multiply
    362.54x = 542.76 × 213.84
  4. Step 4: Simplify right side
    362.54x = 116,063.80
  5. Step 5: Solve for x
    x = 116,063.80/362.54
  6. Step 6: Final answer
    x = 320.14

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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.