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Finding the Fourth Proportional to 440.73, 661.32 and 197.42

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Solution

The fourth proportional to 440.73, 661.32 and 197.42 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.73 : 661.32 = 197.42 : x
  2. Step 2: Convert to fraction form
    440.73/661.32 = 197.42/x
  3. Step 3: Cross multiply
    440.73x = 661.32 × 197.42
  4. Step 4: Simplify right side
    440.73x = 130,554.49
  5. Step 5: Solve for x
    x = 130,554.49/440.73
  6. Step 6: Final answer
    x = 296.22

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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.