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Finding the Fourth Proportional to 440.74, 661.19 and 197.26

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Solution

The fourth proportional to 440.74, 661.19 and 197.26 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.74 : 661.19 = 197.26 : x
  2. Step 2: Convert to fraction form
    440.74/661.19 = 197.26/x
  3. Step 3: Cross multiply
    440.74x = 661.19 × 197.26
  4. Step 4: Simplify right side
    440.74x = 130,428.53
  5. Step 5: Solve for x
    x = 130,428.53/440.74
  6. Step 6: Final answer
    x = 295.93

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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.