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Finding the Fourth Proportional to 426.82, 588.91 and 261.02

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Solution

The fourth proportional to 426.82, 588.91 and 261.02 is: 360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.82 : 588.91 = 261.02 : x
  2. Step 2: Convert to fraction form
    426.82/588.91 = 261.02/x
  3. Step 3: Cross multiply
    426.82x = 588.91 × 261.02
  4. Step 4: Simplify right side
    426.82x = 153,717.29
  5. Step 5: Solve for x
    x = 153,717.29/426.82
  6. Step 6: Final answer
    x = 360.15

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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.