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Finding the Fourth Proportional to 426.69, 588.84 and 279.58

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Solution

The fourth proportional to 426.69, 588.84 and 279.58 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.69 : 588.84 = 279.58 : x
  2. Step 2: Convert to fraction form
    426.69/588.84 = 279.58/x
  3. Step 3: Cross multiply
    426.69x = 588.84 × 279.58
  4. Step 4: Simplify right side
    426.69x = 164,627.89
  5. Step 5: Solve for x
    x = 164,627.89/426.69
  6. Step 6: Final answer
    x = 385.83

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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.