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Finding the Fourth Proportional to 452.39, 678.59 and 163.83

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Solution

The fourth proportional to 452.39, 678.59 and 163.83 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.39 : 678.59 = 163.83 : x
  2. Step 2: Convert to fraction form
    452.39/678.59 = 163.83/x
  3. Step 3: Cross multiply
    452.39x = 678.59 × 163.83
  4. Step 4: Simplify right side
    452.39x = 111,173.40
  5. Step 5: Solve for x
    x = 111,173.40/452.39
  6. Step 6: Final answer
    x = 245.75

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Why These Related Problems?

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