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Finding the Fourth Proportional to 559.12, 771.23 and 360.21

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Solution

The fourth proportional to 559.12, 771.23 and 360.21 is: 496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.12 : 771.23 = 360.21 : x
  2. Step 2: Convert to fraction form
    559.12/771.23 = 360.21/x
  3. Step 3: Cross multiply
    559.12x = 771.23 × 360.21
  4. Step 4: Simplify right side
    559.12x = 277,805.66
  5. Step 5: Solve for x
    x = 277,805.66/559.12
  6. Step 6: Final answer
    x = 496.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.