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Finding the Fourth Proportional to 608.90, 911.97 and 461.96

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Solution

The fourth proportional to 608.90, 911.97 and 461.96 is: 691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.90 : 911.97 = 461.96 : x
  2. Step 2: Convert to fraction form
    608.90/911.97 = 461.96/x
  3. Step 3: Cross multiply
    608.90x = 911.97 × 461.96
  4. Step 4: Simplify right side
    608.90x = 421,293.66
  5. Step 5: Solve for x
    x = 421,293.66/608.90
  6. Step 6: Final answer
    x = 691.89

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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.