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Finding the Fourth Proportional to 494.98, 742.56 and 206.42

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Solution

The fourth proportional to 494.98, 742.56 and 206.42 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.98 : 742.56 = 206.42 : x
  2. Step 2: Convert to fraction form
    494.98/742.56 = 206.42/x
  3. Step 3: Cross multiply
    494.98x = 742.56 × 206.42
  4. Step 4: Simplify right side
    494.98x = 153,279.24
  5. Step 5: Solve for x
    x = 153,279.24/494.98
  6. Step 6: Final answer
    x = 309.67

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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.