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Finding the Fourth Proportional to 426.18, 588.03 and 268.99

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Solution

The fourth proportional to 426.18, 588.03 and 268.99 is: 371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.18 : 588.03 = 268.99 : x
  2. Step 2: Convert to fraction form
    426.18/588.03 = 268.99/x
  3. Step 3: Cross multiply
    426.18x = 588.03 × 268.99
  4. Step 4: Simplify right side
    426.18x = 158,171.71
  5. Step 5: Solve for x
    x = 158,171.71/426.18
  6. Step 6: Final answer
    x = 371.14

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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.