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Finding the Fourth Proportional to 878.91, 1,317.68 and 331.03

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Solution

The fourth proportional to 878.91, 1,317.68 and 331.03 is: 496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.91 : 1,317.68 = 331.03 : x
  2. Step 2: Convert to fraction form
    878.91/1,317.68 = 331.03/x
  3. Step 3: Cross multiply
    878.91x = 1,317.68 × 331.03
  4. Step 4: Simplify right side
    878.91x = 436,186.66
  5. Step 5: Solve for x
    x = 436,186.66/878.91
  6. Step 6: Final answer
    x = 496.28

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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.