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Finding the Fourth Proportional to 456.31, 684.17 and 196.48

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Solution

The fourth proportional to 456.31, 684.17 and 196.48 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.31 : 684.17 = 196.48 : x
  2. Step 2: Convert to fraction form
    456.31/684.17 = 196.48/x
  3. Step 3: Cross multiply
    456.31x = 684.17 × 196.48
  4. Step 4: Simplify right side
    456.31x = 134,421.32
  5. Step 5: Solve for x
    x = 134,421.32/456.31
  6. Step 6: Final answer
    x = 294.59

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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.