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Finding the Fourth Proportional to 667.20, 999.18 and 377.76

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Solution

The fourth proportional to 667.20, 999.18 and 377.76 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.20 : 999.18 = 377.76 : x
  2. Step 2: Convert to fraction form
    667.20/999.18 = 377.76/x
  3. Step 3: Cross multiply
    667.20x = 999.18 × 377.76
  4. Step 4: Simplify right side
    667.20x = 377,450.24
  5. Step 5: Solve for x
    x = 377,450.24/667.20
  6. Step 6: Final answer
    x = 565.72

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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.