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Finding the Fourth Proportional to 612.83, 919.06 and 222.79

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Solution

The fourth proportional to 612.83, 919.06 and 222.79 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.83 : 919.06 = 222.79 : x
  2. Step 2: Convert to fraction form
    612.83/919.06 = 222.79/x
  3. Step 3: Cross multiply
    612.83x = 919.06 × 222.79
  4. Step 4: Simplify right side
    612.83x = 204,757.38
  5. Step 5: Solve for x
    x = 204,757.38/612.83
  6. Step 6: Final answer
    x = 334.12

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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.