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Finding the Fourth Proportional to 863.52, 1,294.16 and 350.24

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Solution

The fourth proportional to 863.52, 1,294.16 and 350.24 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.52 : 1,294.16 = 350.24 : x
  2. Step 2: Convert to fraction form
    863.52/1,294.16 = 350.24/x
  3. Step 3: Cross multiply
    863.52x = 1,294.16 × 350.24
  4. Step 4: Simplify right side
    863.52x = 453,266.60
  5. Step 5: Solve for x
    x = 453,266.60/863.52
  6. Step 6: Final answer
    x = 524.91

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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.