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Finding the Fourth Proportional to 863.74, 1,295.72 and 316.18

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Solution

The fourth proportional to 863.74, 1,295.72 and 316.18 is: 474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.74 : 1,295.72 = 316.18 : x
  2. Step 2: Convert to fraction form
    863.74/1,295.72 = 316.18/x
  3. Step 3: Cross multiply
    863.74x = 1,295.72 × 316.18
  4. Step 4: Simplify right side
    863.74x = 409,680.75
  5. Step 5: Solve for x
    x = 409,680.75/863.74
  6. Step 6: Final answer
    x = 474.31

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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.