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Finding the Fourth Proportional to 392.94, 542.04 and 346.42

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Solution

The fourth proportional to 392.94, 542.04 and 346.42 is: 477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.94 : 542.04 = 346.42 : x
  2. Step 2: Convert to fraction form
    392.94/542.04 = 346.42/x
  3. Step 3: Cross multiply
    392.94x = 542.04 × 346.42
  4. Step 4: Simplify right side
    392.94x = 187,773.50
  5. Step 5: Solve for x
    x = 187,773.50/392.94
  6. Step 6: Final answer
    x = 477.87

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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.