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Finding the Fourth Proportional to 392.53, 542.43 and 299.20

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Solution

The fourth proportional to 392.53, 542.43 and 299.20 is: 413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.53 : 542.43 = 299.20 : x
  2. Step 2: Convert to fraction form
    392.53/542.43 = 299.20/x
  3. Step 3: Cross multiply
    392.53x = 542.43 × 299.20
  4. Step 4: Simplify right side
    392.53x = 162,295.06
  5. Step 5: Solve for x
    x = 162,295.06/392.53
  6. Step 6: Final answer
    x = 413.46

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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.