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Finding the Fourth Proportional to 452.44, 678 and 208.54

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Solution

The fourth proportional to 452.44, 678 and 208.54 is: 312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 678 = 208.54 : x
  2. Step 2: Convert to fraction form
    452.44/678 = 208.54/x
  3. Step 3: Cross multiply
    452.44x = 678 × 208.54
  4. Step 4: Simplify right side
    452.44x = 141,390.12
  5. Step 5: Solve for x
    x = 141,390.12/452.44
  6. Step 6: Final answer
    x = 312.51

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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.