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Finding the Fourth Proportional to 400.74, 600.15 and 308.67

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Solution

The fourth proportional to 400.74, 600.15 and 308.67 is: 462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.74 : 600.15 = 308.67 : x
  2. Step 2: Convert to fraction form
    400.74/600.15 = 308.67/x
  3. Step 3: Cross multiply
    400.74x = 600.15 × 308.67
  4. Step 4: Simplify right side
    400.74x = 185,248.30
  5. Step 5: Solve for x
    x = 185,248.30/400.74
  6. Step 6: Final answer
    x = 462.27

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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.