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Finding the Fourth Proportional to 440.69, 661.17 and 224.42

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Solution

The fourth proportional to 440.69, 661.17 and 224.42 is: 336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.69 : 661.17 = 224.42 : x
  2. Step 2: Convert to fraction form
    440.69/661.17 = 224.42/x
  3. Step 3: Cross multiply
    440.69x = 661.17 × 224.42
  4. Step 4: Simplify right side
    440.69x = 148,379.77
  5. Step 5: Solve for x
    x = 148,379.77/440.69
  6. Step 6: Final answer
    x = 336.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.