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Finding the Fourth Proportional to 878.92, 1,319.06 and 331.60

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Solution

The fourth proportional to 878.92, 1,319.06 and 331.60 is: 497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,319.06 = 331.60 : x
  2. Step 2: Convert to fraction form
    878.92/1,319.06 = 331.60/x
  3. Step 3: Cross multiply
    878.92x = 1,319.06 × 331.60
  4. Step 4: Simplify right side
    878.92x = 437,400.30
  5. Step 5: Solve for x
    x = 437,400.30/878.92
  6. Step 6: Final answer
    x = 497.66

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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.