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Finding the Fourth Proportional to 426.57, 588.11 and 279.15

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Solution

The fourth proportional to 426.57, 588.11 and 279.15 is: 384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.57 : 588.11 = 279.15 : x
  2. Step 2: Convert to fraction form
    426.57/588.11 = 279.15/x
  3. Step 3: Cross multiply
    426.57x = 588.11 × 279.15
  4. Step 4: Simplify right side
    426.57x = 164,168.88
  5. Step 5: Solve for x
    x = 164,168.88/426.57
  6. Step 6: Final answer
    x = 384.86

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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.