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Finding the Fourth Proportional to 392.93, 542.24 and 218.28

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Solution

The fourth proportional to 392.93, 542.24 and 218.28 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.93 : 542.24 = 218.28 : x
  2. Step 2: Convert to fraction form
    392.93/542.24 = 218.28/x
  3. Step 3: Cross multiply
    392.93x = 542.24 × 218.28
  4. Step 4: Simplify right side
    392.93x = 118,360.69
  5. Step 5: Solve for x
    x = 118,360.69/392.93
  6. Step 6: Final answer
    x = 301.22

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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.