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Finding the Fourth Proportional to 441.40, 661.50 and 197.56

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Solution

The fourth proportional to 441.40, 661.50 and 197.56 is: 296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.40 : 661.50 = 197.56 : x
  2. Step 2: Convert to fraction form
    441.40/661.50 = 197.56/x
  3. Step 3: Cross multiply
    441.40x = 661.50 × 197.56
  4. Step 4: Simplify right side
    441.40x = 130,685.94
  5. Step 5: Solve for x
    x = 130,685.94/441.40
  6. Step 6: Final answer
    x = 296.07

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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.