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Finding the Fourth Proportional to 456.32, 684.44 and 196.24

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Solution

The fourth proportional to 456.32, 684.44 and 196.24 is: 294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.32 : 684.44 = 196.24 : x
  2. Step 2: Convert to fraction form
    456.32/684.44 = 196.24/x
  3. Step 3: Cross multiply
    456.32x = 684.44 × 196.24
  4. Step 4: Simplify right side
    456.32x = 134,314.51
  5. Step 5: Solve for x
    x = 134,314.51/456.32
  6. Step 6: Final answer
    x = 294.34

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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.