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Finding the Fourth Proportional to 426.38, 588.70 and 279.22

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Solution

The fourth proportional to 426.38, 588.70 and 279.22 is: 385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.38 : 588.70 = 279.22 : x
  2. Step 2: Convert to fraction form
    426.38/588.70 = 279.22/x
  3. Step 3: Cross multiply
    426.38x = 588.70 × 279.22
  4. Step 4: Simplify right side
    426.38x = 164,376.81
  5. Step 5: Solve for x
    x = 164,376.81/426.38
  6. Step 6: Final answer
    x = 385.52

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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.