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Finding the Fourth Proportional to 440.96, 660.58 and 209.52

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Solution

The fourth proportional to 440.96, 660.58 and 209.52 is: 313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.96 : 660.58 = 209.52 : x
  2. Step 2: Convert to fraction form
    440.96/660.58 = 209.52/x
  3. Step 3: Cross multiply
    440.96x = 660.58 × 209.52
  4. Step 4: Simplify right side
    440.96x = 138,404.72
  5. Step 5: Solve for x
    x = 138,404.72/440.96
  6. Step 6: Final answer
    x = 313.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.