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Finding the Fourth Proportional to 426.74, 588.88 and 260.91

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Solution

The fourth proportional to 426.74, 588.88 and 260.91 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.74 : 588.88 = 260.91 : x
  2. Step 2: Convert to fraction form
    426.74/588.88 = 260.91/x
  3. Step 3: Cross multiply
    426.74x = 588.88 × 260.91
  4. Step 4: Simplify right side
    426.74x = 153,644.68
  5. Step 5: Solve for x
    x = 153,644.68/426.74
  6. Step 6: Final answer
    x = 360.04

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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.