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Finding the Fourth Proportional to 853.31, 1,278.97 and 359.62

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Solution

The fourth proportional to 853.31, 1,278.97 and 359.62 is: 539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.31 : 1,278.97 = 359.62 : x
  2. Step 2: Convert to fraction form
    853.31/1,278.97 = 359.62/x
  3. Step 3: Cross multiply
    853.31x = 1,278.97 × 359.62
  4. Step 4: Simplify right side
    853.31x = 459,937.65
  5. Step 5: Solve for x
    x = 459,937.65/853.31
  6. Step 6: Final answer
    x = 539.00

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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.