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Finding the Fourth Proportional to 456.47, 684.69 and 196.25

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Solution

The fourth proportional to 456.47, 684.69 and 196.25 is: 294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 684.69 = 196.25 : x
  2. Step 2: Convert to fraction form
    456.47/684.69 = 196.25/x
  3. Step 3: Cross multiply
    456.47x = 684.69 × 196.25
  4. Step 4: Simplify right side
    456.47x = 134,366.99
  5. Step 5: Solve for x
    x = 134,366.99/456.47
  6. Step 6: Final answer
    x = 294.36

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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.