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Finding the Fourth Proportional to 559.27, 838.41 and 299.11

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Solution

The fourth proportional to 559.27, 838.41 and 299.11 is: 448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.27 : 838.41 = 299.11 : x
  2. Step 2: Convert to fraction form
    559.27/838.41 = 299.11/x
  3. Step 3: Cross multiply
    559.27x = 838.41 × 299.11
  4. Step 4: Simplify right side
    559.27x = 250,776.82
  5. Step 5: Solve for x
    x = 250,776.82/559.27
  6. Step 6: Final answer
    x = 448.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.