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Finding the Fourth Proportional to 863.47, 1,294.84 and 286.21

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Solution

The fourth proportional to 863.47, 1,294.84 and 286.21 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.47 : 1,294.84 = 286.21 : x
  2. Step 2: Convert to fraction form
    863.47/1,294.84 = 286.21/x
  3. Step 3: Cross multiply
    863.47x = 1,294.84 × 286.21
  4. Step 4: Simplify right side
    863.47x = 370,596.16
  5. Step 5: Solve for x
    x = 370,596.16/863.47
  6. Step 6: Final answer
    x = 429.19

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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.