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Finding the Fourth Proportional to 553.72, 830.34 and 206.92

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Solution

The fourth proportional to 553.72, 830.34 and 206.92 is: 310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.72 : 830.34 = 206.92 : x
  2. Step 2: Convert to fraction form
    553.72/830.34 = 206.92/x
  3. Step 3: Cross multiply
    553.72x = 830.34 × 206.92
  4. Step 4: Simplify right side
    553.72x = 171,813.95
  5. Step 5: Solve for x
    x = 171,813.95/553.72
  6. Step 6: Final answer
    x = 310.29

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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.