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Finding the Fourth Proportional to 563.06, 844.61 and 238.44

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Solution

The fourth proportional to 563.06, 844.61 and 238.44 is: 357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 844.61 = 238.44 : x
  2. Step 2: Convert to fraction form
    563.06/844.61 = 238.44/x
  3. Step 3: Cross multiply
    563.06x = 844.61 × 238.44
  4. Step 4: Simplify right side
    563.06x = 201,387.62
  5. Step 5: Solve for x
    x = 201,387.62/563.06
  6. Step 6: Final answer
    x = 357.67

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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.