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Finding the Fourth Proportional to 559.85, 771.49 and 412.22

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Solution

The fourth proportional to 559.85, 771.49 and 412.22 is: 568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.85 : 771.49 = 412.22 : x
  2. Step 2: Convert to fraction form
    559.85/771.49 = 412.22/x
  3. Step 3: Cross multiply
    559.85x = 771.49 × 412.22
  4. Step 4: Simplify right side
    559.85x = 318,026.05
  5. Step 5: Solve for x
    x = 318,026.05/559.85
  6. Step 6: Final answer
    x = 568.06

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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.