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Finding the Fourth Proportional to 392.01, 541.13 and 260.97

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Solution

The fourth proportional to 392.01, 541.13 and 260.97 is: 360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 541.13 = 260.97 : x
  2. Step 2: Convert to fraction form
    392.01/541.13 = 260.97/x
  3. Step 3: Cross multiply
    392.01x = 541.13 × 260.97
  4. Step 4: Simplify right side
    392.01x = 141,217.39
  5. Step 5: Solve for x
    x = 141,217.39/392.01
  6. Step 6: Final answer
    x = 360.24

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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.