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Finding the Fourth Proportional to 915.22, 1,371.86 and 298.76

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Solution

The fourth proportional to 915.22, 1,371.86 and 298.76 is: 447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.22 : 1,371.86 = 298.76 : x
  2. Step 2: Convert to fraction form
    915.22/1,371.86 = 298.76/x
  3. Step 3: Cross multiply
    915.22x = 1,371.86 × 298.76
  4. Step 4: Simplify right side
    915.22x = 409,856.29
  5. Step 5: Solve for x
    x = 409,856.29/915.22
  6. Step 6: Final answer
    x = 447.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.