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Finding the Fourth Proportional to 440.74, 660.96 and 197.47

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Solution

The fourth proportional to 440.74, 660.96 and 197.47 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.74 : 660.96 = 197.47 : x
  2. Step 2: Convert to fraction form
    440.74/660.96 = 197.47/x
  3. Step 3: Cross multiply
    440.74x = 660.96 × 197.47
  4. Step 4: Simplify right side
    440.74x = 130,519.77
  5. Step 5: Solve for x
    x = 130,519.77/440.74
  6. Step 6: Final answer
    x = 296.14

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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.