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Finding the Fourth Proportional to 559.23, 838.72 and 266.73

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Solution

The fourth proportional to 559.23, 838.72 and 266.73 is: 400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.23 : 838.72 = 266.73 : x
  2. Step 2: Convert to fraction form
    559.23/838.72 = 266.73/x
  3. Step 3: Cross multiply
    559.23x = 838.72 × 266.73
  4. Step 4: Simplify right side
    559.23x = 223,711.79
  5. Step 5: Solve for x
    x = 223,711.79/559.23
  6. Step 6: Final answer
    x = 400.04

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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.