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Finding the Fourth Proportional to 805.39, 1,206.42 and 414.21

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Solution

The fourth proportional to 805.39, 1,206.42 and 414.21 is: 620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.39 : 1,206.42 = 414.21 : x
  2. Step 2: Convert to fraction form
    805.39/1,206.42 = 414.21/x
  3. Step 3: Cross multiply
    805.39x = 1,206.42 × 414.21
  4. Step 4: Simplify right side
    805.39x = 499,711.23
  5. Step 5: Solve for x
    x = 499,711.23/805.39
  6. Step 6: Final answer
    x = 620.46

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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.