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Finding the Fourth Proportional to 553.52, 830.46 and 229.04

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Solution

The fourth proportional to 553.52, 830.46 and 229.04 is: 343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.52 : 830.46 = 229.04 : x
  2. Step 2: Convert to fraction form
    553.52/830.46 = 229.04/x
  3. Step 3: Cross multiply
    553.52x = 830.46 × 229.04
  4. Step 4: Simplify right side
    553.52x = 190,208.56
  5. Step 5: Solve for x
    x = 190,208.56/553.52
  6. Step 6: Final answer
    x = 343.63

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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.