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Finding the Fourth Proportional to 853.82, 1,280.82 and 306.22

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Solution

The fourth proportional to 853.82, 1,280.82 and 306.22 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,280.82 = 306.22 : x
  2. Step 2: Convert to fraction form
    853.82/1,280.82 = 306.22/x
  3. Step 3: Cross multiply
    853.82x = 1,280.82 × 306.22
  4. Step 4: Simplify right side
    853.82x = 392,209.74
  5. Step 5: Solve for x
    x = 392,209.74/853.82
  6. Step 6: Final answer
    x = 459.36

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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.