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Finding the Fourth Proportional to 558.97, 772.20 and 412.41

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Solution

The fourth proportional to 558.97, 772.20 and 412.41 is: 569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.97 : 772.20 = 412.41 : x
  2. Step 2: Convert to fraction form
    558.97/772.20 = 412.41/x
  3. Step 3: Cross multiply
    558.97x = 772.20 × 412.41
  4. Step 4: Simplify right side
    558.97x = 318,464.35
  5. Step 5: Solve for x
    x = 318,464.35/558.97
  6. Step 6: Final answer
    x = 569.73

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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.