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Finding the Fourth Proportional to 853.88, 1,281.31 and 360.25

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Solution

The fourth proportional to 853.88, 1,281.31 and 360.25 is: 540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,281.31 = 360.25 : x
  2. Step 2: Convert to fraction form
    853.88/1,281.31 = 360.25/x
  3. Step 3: Cross multiply
    853.88x = 1,281.31 × 360.25
  4. Step 4: Simplify right side
    853.88x = 461,591.93
  5. Step 5: Solve for x
    x = 461,591.93/853.88
  6. Step 6: Final answer
    x = 540.58

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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.