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Finding the Fourth Proportional to 667.29, 920.97 and 431.17

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Solution

The fourth proportional to 667.29, 920.97 and 431.17 is: 595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.29 : 920.97 = 431.17 : x
  2. Step 2: Convert to fraction form
    667.29/920.97 = 431.17/x
  3. Step 3: Cross multiply
    667.29x = 920.97 × 431.17
  4. Step 4: Simplify right side
    667.29x = 397,097.51
  5. Step 5: Solve for x
    x = 397,097.51/667.29
  6. Step 6: Final answer
    x = 595.09

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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.