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Finding the Fourth Proportional to 558.78, 838.79 and 412.08

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Solution

The fourth proportional to 558.78, 838.79 and 412.08 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.78 : 838.79 = 412.08 : x
  2. Step 2: Convert to fraction form
    558.78/838.79 = 412.08/x
  3. Step 3: Cross multiply
    558.78x = 838.79 × 412.08
  4. Step 4: Simplify right side
    558.78x = 345,642.33
  5. Step 5: Solve for x
    x = 345,642.33/558.78
  6. Step 6: Final answer
    x = 618.56

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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.