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Finding the Fourth Proportional to 664.77, 917.60 and 431.94

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Solution

The fourth proportional to 664.77, 917.60 and 431.94 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.77 : 917.60 = 431.94 : x
  2. Step 2: Convert to fraction form
    664.77/917.60 = 431.94/x
  3. Step 3: Cross multiply
    664.77x = 917.60 × 431.94
  4. Step 4: Simplify right side
    664.77x = 396,345.98
  5. Step 5: Solve for x
    x = 396,345.98/664.77
  6. Step 6: Final answer
    x = 596.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.