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Finding the Fourth Proportional to 561.70, 842.34 and 191.42

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Solution

The fourth proportional to 561.70, 842.34 and 191.42 is: 287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.70 : 842.34 = 191.42 : x
  2. Step 2: Convert to fraction form
    561.70/842.34 = 191.42/x
  3. Step 3: Cross multiply
    561.70x = 842.34 × 191.42
  4. Step 4: Simplify right side
    561.70x = 161,240.72
  5. Step 5: Solve for x
    x = 161,240.72/561.70
  6. Step 6: Final answer
    x = 287.06

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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.