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Finding the Fourth Proportional to 452.07, 678.29 and 163.53

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Solution

The fourth proportional to 452.07, 678.29 and 163.53 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 678.29 = 163.53 : x
  2. Step 2: Convert to fraction form
    452.07/678.29 = 163.53/x
  3. Step 3: Cross multiply
    452.07x = 678.29 × 163.53
  4. Step 4: Simplify right side
    452.07x = 110,919.95
  5. Step 5: Solve for x
    x = 110,919.95/452.07
  6. Step 6: Final answer
    x = 245.36

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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.