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Finding the Fourth Proportional to 440.87, 660.83 and 197.06

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Solution

The fourth proportional to 440.87, 660.83 and 197.06 is: 295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.87 : 660.83 = 197.06 : x
  2. Step 2: Convert to fraction form
    440.87/660.83 = 197.06/x
  3. Step 3: Cross multiply
    440.87x = 660.83 × 197.06
  4. Step 4: Simplify right side
    440.87x = 130,223.16
  5. Step 5: Solve for x
    x = 130,223.16/440.87
  6. Step 6: Final answer
    x = 295.38

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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.