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Finding the Fourth Proportional to 863.72, 1,295.59 and 315.90

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Solution

The fourth proportional to 863.72, 1,295.59 and 315.90 is: 473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,295.59 = 315.90 : x
  2. Step 2: Convert to fraction form
    863.72/1,295.59 = 315.90/x
  3. Step 3: Cross multiply
    863.72x = 1,295.59 × 315.90
  4. Step 4: Simplify right side
    863.72x = 409,273.93
  5. Step 5: Solve for x
    x = 409,273.93/863.72
  6. Step 6: Final answer
    x = 473.85

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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.