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Finding the Fourth Proportional to 861.56, 1,292.32 and 212.30

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Solution

The fourth proportional to 861.56, 1,292.32 and 212.30 is: 318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.56 : 1,292.32 = 212.30 : x
  2. Step 2: Convert to fraction form
    861.56/1,292.32 = 212.30/x
  3. Step 3: Cross multiply
    861.56x = 1,292.32 × 212.30
  4. Step 4: Simplify right side
    861.56x = 274,352.01
  5. Step 5: Solve for x
    x = 274,352.01/861.56
  6. Step 6: Final answer
    x = 318.44

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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.