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Finding the Fourth Proportional to 393.79, 542.92 and 260.97

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Solution

The fourth proportional to 393.79, 542.92 and 260.97 is: 359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.79 : 542.92 = 260.97 : x
  2. Step 2: Convert to fraction form
    393.79/542.92 = 260.97/x
  3. Step 3: Cross multiply
    393.79x = 542.92 × 260.97
  4. Step 4: Simplify right side
    393.79x = 141,685.59
  5. Step 5: Solve for x
    x = 141,685.59/393.79
  6. Step 6: Final answer
    x = 359.80

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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.