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Finding the Fourth Proportional to 392.69, 542.43 and 319.92

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Solution

The fourth proportional to 392.69, 542.43 and 319.92 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.69 : 542.43 = 319.92 : x
  2. Step 2: Convert to fraction form
    392.69/542.43 = 319.92/x
  3. Step 3: Cross multiply
    392.69x = 542.43 × 319.92
  4. Step 4: Simplify right side
    392.69x = 173,534.21
  5. Step 5: Solve for x
    x = 173,534.21/392.69
  6. Step 6: Final answer
    x = 441.92

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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.