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Finding the Fourth Proportional to 392.40, 542.16 and 294.48

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Solution

The fourth proportional to 392.40, 542.16 and 294.48 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 542.16 = 294.48 : x
  2. Step 2: Convert to fraction form
    392.40/542.16 = 294.48/x
  3. Step 3: Cross multiply
    392.40x = 542.16 × 294.48
  4. Step 4: Simplify right side
    392.40x = 159,655.28
  5. Step 5: Solve for x
    x = 159,655.28/392.40
  6. Step 6: Final answer
    x = 406.87

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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.