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Finding the Fourth Proportional to 561.85, 842.74 and 269.57

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Solution

The fourth proportional to 561.85, 842.74 and 269.57 is: 404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.85 : 842.74 = 269.57 : x
  2. Step 2: Convert to fraction form
    561.85/842.74 = 269.57/x
  3. Step 3: Cross multiply
    561.85x = 842.74 × 269.57
  4. Step 4: Simplify right side
    561.85x = 227,180.37
  5. Step 5: Solve for x
    x = 227,180.37/561.85
  6. Step 6: Final answer
    x = 404.34

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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.