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Finding the Fourth Proportional to 664.18, 915.62 and 443.05

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Solution

The fourth proportional to 664.18, 915.62 and 443.05 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.18 : 915.62 = 443.05 : x
  2. Step 2: Convert to fraction form
    664.18/915.62 = 443.05/x
  3. Step 3: Cross multiply
    664.18x = 915.62 × 443.05
  4. Step 4: Simplify right side
    664.18x = 405,666.03
  5. Step 5: Solve for x
    x = 405,666.03/664.18
  6. Step 6: Final answer
    x = 610.78

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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.