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Finding the Fourth Proportional to 426.87, 589.10 and 252.15

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Solution

The fourth proportional to 426.87, 589.10 and 252.15 is: 347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.87 : 589.10 = 252.15 : x
  2. Step 2: Convert to fraction form
    426.87/589.10 = 252.15/x
  3. Step 3: Cross multiply
    426.87x = 589.10 × 252.15
  4. Step 4: Simplify right side
    426.87x = 148,540.30
  5. Step 5: Solve for x
    x = 148,540.30/426.87
  6. Step 6: Final answer
    x = 347.98

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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.