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Finding the Fourth Proportional to 471.24, 706.10 and 196.72

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Solution

The fourth proportional to 471.24, 706.10 and 196.72 is: 294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.24 : 706.10 = 196.72 : x
  2. Step 2: Convert to fraction form
    471.24/706.10 = 196.72/x
  3. Step 3: Cross multiply
    471.24x = 706.10 × 196.72
  4. Step 4: Simplify right side
    471.24x = 138,903.99
  5. Step 5: Solve for x
    x = 138,903.99/471.24
  6. Step 6: Final answer
    x = 294.76

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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.