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Finding the Fourth Proportional to 650.40, 898.20 and 414.80

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Solution

The fourth proportional to 650.40, 898.20 and 414.80 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 898.20 = 414.80 : x
  2. Step 2: Convert to fraction form
    650.40/898.20 = 414.80/x
  3. Step 3: Cross multiply
    650.40x = 898.20 × 414.80
  4. Step 4: Simplify right side
    650.40x = 372,568.87
  5. Step 5: Solve for x
    x = 372,568.87/650.40
  6. Step 6: Final answer
    x = 572.83

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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.