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Finding the Fourth Proportional to 608.74, 911.95 and 412.78

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Solution

The fourth proportional to 608.74, 911.95 and 412.78 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.74 : 911.95 = 412.78 : x
  2. Step 2: Convert to fraction form
    608.74/911.95 = 412.78/x
  3. Step 3: Cross multiply
    608.74x = 911.95 × 412.78
  4. Step 4: Simplify right side
    608.74x = 376,434.72
  5. Step 5: Solve for x
    x = 376,434.72/608.74
  6. Step 6: Final answer
    x = 618.38

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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.