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Finding the Fourth Proportional to 392.19, 541.26 and 261.24

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Solution

The fourth proportional to 392.19, 541.26 and 261.24 is: 360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.19 : 541.26 = 261.24 : x
  2. Step 2: Convert to fraction form
    392.19/541.26 = 261.24/x
  3. Step 3: Cross multiply
    392.19x = 541.26 × 261.24
  4. Step 4: Simplify right side
    392.19x = 141,398.76
  5. Step 5: Solve for x
    x = 141,398.76/392.19
  6. Step 6: Final answer
    x = 360.54

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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.