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Finding the Fourth Proportional to 392.79, 542.03 and 299.60

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Solution

The fourth proportional to 392.79, 542.03 and 299.60 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.79 : 542.03 = 299.60 : x
  2. Step 2: Convert to fraction form
    392.79/542.03 = 299.60/x
  3. Step 3: Cross multiply
    392.79x = 542.03 × 299.60
  4. Step 4: Simplify right side
    392.79x = 162,392.19
  5. Step 5: Solve for x
    x = 162,392.19/392.79
  6. Step 6: Final answer
    x = 413.43

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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.