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Finding the Fourth Proportional to 392.83, 542.24 and 261.82

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Solution

The fourth proportional to 392.83, 542.24 and 261.82 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.83 : 542.24 = 261.82 : x
  2. Step 2: Convert to fraction form
    392.83/542.24 = 261.82/x
  3. Step 3: Cross multiply
    392.83x = 542.24 × 261.82
  4. Step 4: Simplify right side
    392.83x = 141,969.28
  5. Step 5: Solve for x
    x = 141,969.28/392.83
  6. Step 6: Final answer
    x = 361.40

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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.