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Finding the Fourth Proportional to 608.85, 913.41 and 213.44

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Solution

The fourth proportional to 608.85, 913.41 and 213.44 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.85 : 913.41 = 213.44 : x
  2. Step 2: Convert to fraction form
    608.85/913.41 = 213.44/x
  3. Step 3: Cross multiply
    608.85x = 913.41 × 213.44
  4. Step 4: Simplify right side
    608.85x = 194,953.66
  5. Step 5: Solve for x
    x = 194,953.66/608.85
  6. Step 6: Final answer
    x = 320.20

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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.