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Finding the Fourth Proportional to 667.80, 921.78 and 446.80

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Solution

The fourth proportional to 667.80, 921.78 and 446.80 is: 616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.80 : 921.78 = 446.80 : x
  2. Step 2: Convert to fraction form
    667.80/921.78 = 446.80/x
  3. Step 3: Cross multiply
    667.80x = 921.78 × 446.80
  4. Step 4: Simplify right side
    667.80x = 411,851.30
  5. Step 5: Solve for x
    x = 411,851.30/667.80
  6. Step 6: Final answer
    x = 616.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.