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Finding the Fourth Proportional to 853.40, 1,278.66 and 365.78

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Solution

The fourth proportional to 853.40, 1,278.66 and 365.78 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.40 : 1,278.66 = 365.78 : x
  2. Step 2: Convert to fraction form
    853.40/1,278.66 = 365.78/x
  3. Step 3: Cross multiply
    853.40x = 1,278.66 × 365.78
  4. Step 4: Simplify right side
    853.40x = 467,708.25
  5. Step 5: Solve for x
    x = 467,708.25/853.40
  6. Step 6: Final answer
    x = 548.05

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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.