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Finding the Fourth Proportional to 392.87, 541.80 and 259.86

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Solution

The fourth proportional to 392.87, 541.80 and 259.86 is: 358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.87 : 541.80 = 259.86 : x
  2. Step 2: Convert to fraction form
    392.87/541.80 = 259.86/x
  3. Step 3: Cross multiply
    392.87x = 541.80 × 259.86
  4. Step 4: Simplify right side
    392.87x = 140,794.18
  5. Step 5: Solve for x
    x = 140,794.18/392.87
  6. Step 6: Final answer
    x = 358.37

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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.