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Finding the Fourth Proportional to 878.63, 1,317.84 and 229.41

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Solution

The fourth proportional to 878.63, 1,317.84 and 229.41 is: 344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.63 : 1,317.84 = 229.41 : x
  2. Step 2: Convert to fraction form
    878.63/1,317.84 = 229.41/x
  3. Step 3: Cross multiply
    878.63x = 1,317.84 × 229.41
  4. Step 4: Simplify right side
    878.63x = 302,325.67
  5. Step 5: Solve for x
    x = 302,325.67/878.63
  6. Step 6: Final answer
    x = 344.09

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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.