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Finding the Fourth Proportional to 878.62, 1,317.97 and 293.67

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Solution

The fourth proportional to 878.62, 1,317.97 and 293.67 is: 440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.62 : 1,317.97 = 293.67 : x
  2. Step 2: Convert to fraction form
    878.62/1,317.97 = 293.67/x
  3. Step 3: Cross multiply
    878.62x = 1,317.97 × 293.67
  4. Step 4: Simplify right side
    878.62x = 387,048.25
  5. Step 5: Solve for x
    x = 387,048.25/878.62
  6. Step 6: Final answer
    x = 440.52

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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.