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Finding the Fourth Proportional to 392.80, 542.26 and 260.20

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Solution

The fourth proportional to 392.80, 542.26 and 260.20 is: 359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 542.26 = 260.20 : x
  2. Step 2: Convert to fraction form
    392.80/542.26 = 260.20/x
  3. Step 3: Cross multiply
    392.80x = 542.26 × 260.20
  4. Step 4: Simplify right side
    392.80x = 141,096.05
  5. Step 5: Solve for x
    x = 141,096.05/392.80
  6. Step 6: Final answer
    x = 359.21

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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.