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Finding the Fourth Proportional to 392.75, 542.00 and 218.11

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Solution

The fourth proportional to 392.75, 542.00 and 218.11 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 542.00 = 218.11 : x
  2. Step 2: Convert to fraction form
    392.75/542.00 = 218.11/x
  3. Step 3: Cross multiply
    392.75x = 542.00 × 218.11
  4. Step 4: Simplify right side
    392.75x = 118,214.53
  5. Step 5: Solve for x
    x = 118,214.53/392.75
  6. Step 6: Final answer
    x = 300.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.