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Finding the Fourth Proportional to 608.05, 838.86 and 412.12

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Solution

The fourth proportional to 608.05, 838.86 and 412.12 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.05 : 838.86 = 412.12 : x
  2. Step 2: Convert to fraction form
    608.05/838.86 = 412.12/x
  3. Step 3: Cross multiply
    608.05x = 838.86 × 412.12
  4. Step 4: Simplify right side
    608.05x = 345,710.98
  5. Step 5: Solve for x
    x = 345,710.98/608.05
  6. Step 6: Final answer
    x = 568.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.