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Finding the Fourth Proportional to 426.99, 588.67 and 279.57

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Solution

The fourth proportional to 426.99, 588.67 and 279.57 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.99 : 588.67 = 279.57 : x
  2. Step 2: Convert to fraction form
    426.99/588.67 = 279.57/x
  3. Step 3: Cross multiply
    426.99x = 588.67 × 279.57
  4. Step 4: Simplify right side
    426.99x = 164,574.47
  5. Step 5: Solve for x
    x = 164,574.47/426.99
  6. Step 6: Final answer
    x = 385.43

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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.