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Finding the Fourth Proportional to 863.16, 1,293.59 and 314.81

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Solution

The fourth proportional to 863.16, 1,293.59 and 314.81 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.16 : 1,293.59 = 314.81 : x
  2. Step 2: Convert to fraction form
    863.16/1,293.59 = 314.81/x
  3. Step 3: Cross multiply
    863.16x = 1,293.59 × 314.81
  4. Step 4: Simplify right side
    863.16x = 407,234.24
  5. Step 5: Solve for x
    x = 407,234.24/863.16
  6. Step 6: Final answer
    x = 471.80

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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.