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Finding the Fourth Proportional to 456.25, 684.42 and 196.27

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Solution

The fourth proportional to 456.25, 684.42 and 196.27 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.25 : 684.42 = 196.27 : x
  2. Step 2: Convert to fraction form
    456.25/684.42 = 196.27/x
  3. Step 3: Cross multiply
    456.25x = 684.42 × 196.27
  4. Step 4: Simplify right side
    456.25x = 134,331.11
  5. Step 5: Solve for x
    x = 134,331.11/456.25
  6. Step 6: Final answer
    x = 294.42

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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.