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Finding the Fourth Proportional to 452.56, 678.20 and 247.12

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Solution

The fourth proportional to 452.56, 678.20 and 247.12 is: 370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.56 : 678.20 = 247.12 : x
  2. Step 2: Convert to fraction form
    452.56/678.20 = 247.12/x
  3. Step 3: Cross multiply
    452.56x = 678.20 × 247.12
  4. Step 4: Simplify right side
    452.56x = 167,596.78
  5. Step 5: Solve for x
    x = 167,596.78/452.56
  6. Step 6: Final answer
    x = 370.33

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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.