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Finding the Fourth Proportional to 426.80, 588.75 and 258.64

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Solution

The fourth proportional to 426.80, 588.75 and 258.64 is: 356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 588.75 = 258.64 : x
  2. Step 2: Convert to fraction form
    426.80/588.75 = 258.64/x
  3. Step 3: Cross multiply
    426.80x = 588.75 × 258.64
  4. Step 4: Simplify right side
    426.80x = 152,276.62
  5. Step 5: Solve for x
    x = 152,276.62/426.80
  6. Step 6: Final answer
    x = 356.78

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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.