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Finding the Fourth Proportional to 667.12, 921 and 446.38

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Solution

The fourth proportional to 667.12, 921 and 446.38 is: 616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.12 : 921 = 446.38 : x
  2. Step 2: Convert to fraction form
    667.12/921 = 446.38/x
  3. Step 3: Cross multiply
    667.12x = 921 × 446.38
  4. Step 4: Simplify right side
    667.12x = 411,115.98
  5. Step 5: Solve for x
    x = 411,115.98/667.12
  6. Step 6: Final answer
    x = 616.25

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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.