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Finding the Fourth Proportional to 553.87, 830.85 and 229.27

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Solution

The fourth proportional to 553.87, 830.85 and 229.27 is: 343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.87 : 830.85 = 229.27 : x
  2. Step 2: Convert to fraction form
    553.87/830.85 = 229.27/x
  3. Step 3: Cross multiply
    553.87x = 830.85 × 229.27
  4. Step 4: Simplify right side
    553.87x = 190,488.98
  5. Step 5: Solve for x
    x = 190,488.98/553.87
  6. Step 6: Final answer
    x = 343.92

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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.