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Finding the Fourth Proportional to 809.79, 1,214.58 and 224.83

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Solution

The fourth proportional to 809.79, 1,214.58 and 224.83 is: 337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.79 : 1,214.58 = 224.83 : x
  2. Step 2: Convert to fraction form
    809.79/1,214.58 = 224.83/x
  3. Step 3: Cross multiply
    809.79x = 1,214.58 × 224.83
  4. Step 4: Simplify right side
    809.79x = 273,074.02
  5. Step 5: Solve for x
    x = 273,074.02/809.79
  6. Step 6: Final answer
    x = 337.22

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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.