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Finding the Fourth Proportional to 667.16, 999.12 and 378.80

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Solution

The fourth proportional to 667.16, 999.12 and 378.80 is: 567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.16 : 999.12 = 378.80 : x
  2. Step 2: Convert to fraction form
    667.16/999.12 = 378.80/x
  3. Step 3: Cross multiply
    667.16x = 999.12 × 378.80
  4. Step 4: Simplify right side
    667.16x = 378,466.66
  5. Step 5: Solve for x
    x = 378,466.66/667.16
  6. Step 6: Final answer
    x = 567.28

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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.