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Finding the Fourth Proportional to 650.38, 898.50 and 426.85

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Solution

The fourth proportional to 650.38, 898.50 and 426.85 is: 589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.38 : 898.50 = 426.85 : x
  2. Step 2: Convert to fraction form
    650.38/898.50 = 426.85/x
  3. Step 3: Cross multiply
    650.38x = 898.50 × 426.85
  4. Step 4: Simplify right side
    650.38x = 383,520.23
  5. Step 5: Solve for x
    x = 383,520.23/650.38
  6. Step 6: Final answer
    x = 589.69

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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.