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Finding the Fourth Proportional to 426.54, 588.34 and 260.54

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Solution

The fourth proportional to 426.54, 588.34 and 260.54 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 588.34 = 260.54 : x
  2. Step 2: Convert to fraction form
    426.54/588.34 = 260.54/x
  3. Step 3: Cross multiply
    426.54x = 588.34 × 260.54
  4. Step 4: Simplify right side
    426.54x = 153,286.92
  5. Step 5: Solve for x
    x = 153,286.92/426.54
  6. Step 6: Final answer
    x = 359.37

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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.