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Finding the Fourth Proportional to 863.96, 1,295.78 and 316.40

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Solution

The fourth proportional to 863.96, 1,295.78 and 316.40 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,295.78 = 316.40 : x
  2. Step 2: Convert to fraction form
    863.96/1,295.78 = 316.40/x
  3. Step 3: Cross multiply
    863.96x = 1,295.78 × 316.40
  4. Step 4: Simplify right side
    863.96x = 409,984.79
  5. Step 5: Solve for x
    x = 409,984.79/863.96
  6. Step 6: Final answer
    x = 474.54

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Why These Related Problems?

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