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Finding the Fourth Proportional to 664.06, 915.79 and 415.41

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Solution

The fourth proportional to 664.06, 915.79 and 415.41 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 915.79 = 415.41 : x
  2. Step 2: Convert to fraction form
    664.06/915.79 = 415.41/x
  3. Step 3: Cross multiply
    664.06x = 915.79 × 415.41
  4. Step 4: Simplify right side
    664.06x = 380,428.32
  5. Step 5: Solve for x
    x = 380,428.32/664.06
  6. Step 6: Final answer
    x = 572.88

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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.