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Finding the Fourth Proportional to 426.75, 588.89 and 260.90

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Solution

The fourth proportional to 426.75, 588.89 and 260.90 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 588.89 = 260.90 : x
  2. Step 2: Convert to fraction form
    426.75/588.89 = 260.90/x
  3. Step 3: Cross multiply
    426.75x = 588.89 × 260.90
  4. Step 4: Simplify right side
    426.75x = 153,637.15
  5. Step 5: Solve for x
    x = 153,637.15/426.75
  6. Step 6: Final answer
    x = 360.02

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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.