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Finding the Fourth Proportional to 863.24, 1,294.80 and 286.08

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Solution

The fourth proportional to 863.24, 1,294.80 and 286.08 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.24 : 1,294.80 = 286.08 : x
  2. Step 2: Convert to fraction form
    863.24/1,294.80 = 286.08/x
  3. Step 3: Cross multiply
    863.24x = 1,294.80 × 286.08
  4. Step 4: Simplify right side
    863.24x = 370,416.38
  5. Step 5: Solve for x
    x = 370,416.38/863.24
  6. Step 6: Final answer
    x = 429.10

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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.