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Finding the Fourth Proportional to 664.89, 917.69 and 431.61

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Solution

The fourth proportional to 664.89, 917.69 and 431.61 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.89 : 917.69 = 431.61 : x
  2. Step 2: Convert to fraction form
    664.89/917.69 = 431.61/x
  3. Step 3: Cross multiply
    664.89x = 917.69 × 431.61
  4. Step 4: Simplify right side
    664.89x = 396,084.18
  5. Step 5: Solve for x
    x = 396,084.18/664.89
  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.