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Finding the Fourth Proportional to 667.69, 921.48 and 405.85

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Solution

The fourth proportional to 667.69, 921.48 and 405.85 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.69 : 921.48 = 405.85 : x
  2. Step 2: Convert to fraction form
    667.69/921.48 = 405.85/x
  3. Step 3: Cross multiply
    667.69x = 921.48 × 405.85
  4. Step 4: Simplify right side
    667.69x = 373,978.05
  5. Step 5: Solve for x
    x = 373,978.05/667.69
  6. Step 6: Final answer
    x = 560.11

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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.