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Finding the Fourth Proportional to 392.32, 541.20 and 259.78

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Solution

The fourth proportional to 392.32, 541.20 and 259.78 is: 358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.32 : 541.20 = 259.78 : x
  2. Step 2: Convert to fraction form
    392.32/541.20 = 259.78/x
  3. Step 3: Cross multiply
    392.32x = 541.20 × 259.78
  4. Step 4: Simplify right side
    392.32x = 140,590.23
  5. Step 5: Solve for x
    x = 140,590.23/392.32
  6. Step 6: Final answer
    x = 358.36

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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.