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Finding the Fourth Proportional to 664.74, 917.17 and 431.82

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Solution

The fourth proportional to 664.74, 917.17 and 431.82 is: 595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.74 : 917.17 = 431.82 : x
  2. Step 2: Convert to fraction form
    664.74/917.17 = 431.82/x
  3. Step 3: Cross multiply
    664.74x = 917.17 × 431.82
  4. Step 4: Simplify right side
    664.74x = 396,052.35
  5. Step 5: Solve for x
    x = 396,052.35/664.74
  6. Step 6: Final answer
    x = 595.80

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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.