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Finding the Fourth Proportional to 664.74, 917.12 and 443.61

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Solution

The fourth proportional to 664.74, 917.12 and 443.61 is: 612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.74 : 917.12 = 443.61 : x
  2. Step 2: Convert to fraction form
    664.74/917.12 = 443.61/x
  3. Step 3: Cross multiply
    664.74x = 917.12 × 443.61
  4. Step 4: Simplify right side
    664.74x = 406,844.71
  5. Step 5: Solve for x
    x = 406,844.71/664.74
  6. Step 6: Final answer
    x = 612.04

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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.