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Finding the Fourth Proportional to 619.87, 929.81 and 229.90

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Solution

The fourth proportional to 619.87, 929.81 and 229.90 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.87 : 929.81 = 229.90 : x
  2. Step 2: Convert to fraction form
    619.87/929.81 = 229.90/x
  3. Step 3: Cross multiply
    619.87x = 929.81 × 229.90
  4. Step 4: Simplify right side
    619.87x = 213,763.32
  5. Step 5: Solve for x
    x = 213,763.32/619.87
  6. Step 6: Final answer
    x = 344.85

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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.