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Finding the Fourth Proportional to 553.26, 830.32 and 206.85

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Solution

The fourth proportional to 553.26, 830.32 and 206.85 is: 310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.26 : 830.32 = 206.85 : x
  2. Step 2: Convert to fraction form
    553.26/830.32 = 206.85/x
  3. Step 3: Cross multiply
    553.26x = 830.32 × 206.85
  4. Step 4: Simplify right side
    553.26x = 171,750.66
  5. Step 5: Solve for x
    x = 171,750.66/553.26
  6. Step 6: Final answer
    x = 310.43

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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.