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Finding the Fourth Proportional to 440.60, 661.08 and 197.08

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Solution

The fourth proportional to 440.60, 661.08 and 197.08 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.60 : 661.08 = 197.08 : x
  2. Step 2: Convert to fraction form
    440.60/661.08 = 197.08/x
  3. Step 3: Cross multiply
    440.60x = 661.08 × 197.08
  4. Step 4: Simplify right side
    440.60x = 130,285.65
  5. Step 5: Solve for x
    x = 130,285.65/440.60
  6. Step 6: Final answer
    x = 295.70

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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.