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Finding the Fourth Proportional to 392.95, 542.25 and 218.29

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Solution

The fourth proportional to 392.95, 542.25 and 218.29 is: 301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.95 : 542.25 = 218.29 : x
  2. Step 2: Convert to fraction form
    392.95/542.25 = 218.29/x
  3. Step 3: Cross multiply
    392.95x = 542.25 × 218.29
  4. Step 4: Simplify right side
    392.95x = 118,365.04
  5. Step 5: Solve for x
    x = 118,365.04/392.95
  6. Step 6: Final answer
    x = 301.23

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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.