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Finding the Fourth Proportional to 559.42, 771.56 and 360.27

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Solution

The fourth proportional to 559.42, 771.56 and 360.27 is: 496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.42 : 771.56 = 360.27 : x
  2. Step 2: Convert to fraction form
    559.42/771.56 = 360.27/x
  3. Step 3: Cross multiply
    559.42x = 771.56 × 360.27
  4. Step 4: Simplify right side
    559.42x = 277,969.54
  5. Step 5: Solve for x
    x = 277,969.54/559.42
  6. Step 6: Final answer
    x = 496.89

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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.