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Finding the Fourth Proportional to 404.24, 606.15 and 144.14

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Solution

The fourth proportional to 404.24, 606.15 and 144.14 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 606.15 = 144.14 : x
  2. Step 2: Convert to fraction form
    404.24/606.15 = 144.14/x
  3. Step 3: Cross multiply
    404.24x = 606.15 × 144.14
  4. Step 4: Simplify right side
    404.24x = 87,367.43
  5. Step 5: Solve for x
    x = 87,367.43/404.24
  6. Step 6: Final answer
    x = 216.13

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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.