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Finding the Fourth Proportional to 863.66, 1,295.46 and 315.83

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Solution

The fourth proportional to 863.66, 1,295.46 and 315.83 is: 473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,295.46 = 315.83 : x
  2. Step 2: Convert to fraction form
    863.66/1,295.46 = 315.83/x
  3. Step 3: Cross multiply
    863.66x = 1,295.46 × 315.83
  4. Step 4: Simplify right side
    863.66x = 409,148.37
  5. Step 5: Solve for x
    x = 409,148.37/863.66
  6. Step 6: Final answer
    x = 473.74

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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.