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Finding the Fourth Proportional to 558.63, 837.81 and 412.43

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Solution

The fourth proportional to 558.63, 837.81 and 412.43 is: 618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.63 : 837.81 = 412.43 : x
  2. Step 2: Convert to fraction form
    558.63/837.81 = 412.43/x
  3. Step 3: Cross multiply
    558.63x = 837.81 × 412.43
  4. Step 4: Simplify right side
    558.63x = 345,533.79
  5. Step 5: Solve for x
    x = 345,533.79/558.63
  6. Step 6: Final answer
    x = 618.54

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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.