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Finding the Fourth Proportional to 426.20, 587.92 and 260.48

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Solution

The fourth proportional to 426.20, 587.92 and 260.48 is: 359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.20 : 587.92 = 260.48 : x
  2. Step 2: Convert to fraction form
    426.20/587.92 = 260.48/x
  3. Step 3: Cross multiply
    426.20x = 587.92 × 260.48
  4. Step 4: Simplify right side
    426.20x = 153,141.40
  5. Step 5: Solve for x
    x = 153,141.40/426.20
  6. Step 6: Final answer
    x = 359.32

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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.