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Finding the Fourth Proportional to 667.84, 921.60 and 431.68

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Solution

The fourth proportional to 667.84, 921.60 and 431.68 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.84 : 921.60 = 431.68 : x
  2. Step 2: Convert to fraction form
    667.84/921.60 = 431.68/x
  3. Step 3: Cross multiply
    667.84x = 921.60 × 431.68
  4. Step 4: Simplify right side
    667.84x = 397,836.29
  5. Step 5: Solve for x
    x = 397,836.29/667.84
  6. Step 6: Final answer
    x = 595.71

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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.