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Finding the Fourth Proportional to 667.17, 920.41 and 431.08

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Solution

The fourth proportional to 667.17, 920.41 and 431.08 is: 594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.17 : 920.41 = 431.08 : x
  2. Step 2: Convert to fraction form
    667.17/920.41 = 431.08/x
  3. Step 3: Cross multiply
    667.17x = 920.41 × 431.08
  4. Step 4: Simplify right side
    667.17x = 396,770.34
  5. Step 5: Solve for x
    x = 396,770.34/667.17
  6. Step 6: Final answer
    x = 594.71

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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.