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Finding the Fourth Proportional to 807.01, 1,209.66 and 344.41

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Solution

The fourth proportional to 807.01, 1,209.66 and 344.41 is: 516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.01 : 1,209.66 = 344.41 : x
  2. Step 2: Convert to fraction form
    807.01/1,209.66 = 344.41/x
  3. Step 3: Cross multiply
    807.01x = 1,209.66 × 344.41
  4. Step 4: Simplify right side
    807.01x = 416,619.00
  5. Step 5: Solve for x
    x = 416,619.00/807.01
  6. Step 6: Final answer
    x = 516.25

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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.