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Finding the Fourth Proportional to 404.83, 606.83 and 144.67

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Solution

The fourth proportional to 404.83, 606.83 and 144.67 is: 216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.83 : 606.83 = 144.67 : x
  2. Step 2: Convert to fraction form
    404.83/606.83 = 144.67/x
  3. Step 3: Cross multiply
    404.83x = 606.83 × 144.67
  4. Step 4: Simplify right side
    404.83x = 87,787.06
  5. Step 5: Solve for x
    x = 87,787.06/404.83
  6. Step 6: Final answer
    x = 216.85

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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.