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Finding the Fourth Proportional to 559.23, 769.39 and 492.54

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Solution

The fourth proportional to 559.23, 769.39 and 492.54 is: 677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.23 : 769.39 = 492.54 : x
  2. Step 2: Convert to fraction form
    559.23/769.39 = 492.54/x
  3. Step 3: Cross multiply
    559.23x = 769.39 × 492.54
  4. Step 4: Simplify right side
    559.23x = 378,955.35
  5. Step 5: Solve for x
    x = 378,955.35/559.23
  6. Step 6: Final answer
    x = 677.64

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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.