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Finding the Fourth Proportional to 650.60, 898.14 and 441.86

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Solution

The fourth proportional to 650.60, 898.14 and 441.86 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.60 : 898.14 = 441.86 : x
  2. Step 2: Convert to fraction form
    650.60/898.14 = 441.86/x
  3. Step 3: Cross multiply
    650.60x = 898.14 × 441.86
  4. Step 4: Simplify right side
    650.60x = 396,852.14
  5. Step 5: Solve for x
    x = 396,852.14/650.60
  6. Step 6: Final answer
    x = 609.98

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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.