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Finding the Fourth Proportional to 559.59, 768.08 and 496.02

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Solution

The fourth proportional to 559.59, 768.08 and 496.02 is: 680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.59 : 768.08 = 496.02 : x
  2. Step 2: Convert to fraction form
    559.59/768.08 = 496.02/x
  3. Step 3: Cross multiply
    559.59x = 768.08 × 496.02
  4. Step 4: Simplify right side
    559.59x = 380,980.56
  5. Step 5: Solve for x
    x = 380,980.56/559.59
  6. Step 6: Final answer
    x = 680.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.