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Finding the Fourth Proportional to 809.83, 1,215.06 and 323.02

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Solution

The fourth proportional to 809.83, 1,215.06 and 323.02 is: 484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.83 : 1,215.06 = 323.02 : x
  2. Step 2: Convert to fraction form
    809.83/1,215.06 = 323.02/x
  3. Step 3: Cross multiply
    809.83x = 1,215.06 × 323.02
  4. Step 4: Simplify right side
    809.83x = 392,488.68
  5. Step 5: Solve for x
    x = 392,488.68/809.83
  6. Step 6: Final answer
    x = 484.66

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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.