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Finding the Fourth Proportional to 471.94, 708.36 and 197.96

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Solution

The fourth proportional to 471.94, 708.36 and 197.96 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 708.36 = 197.96 : x
  2. Step 2: Convert to fraction form
    471.94/708.36 = 197.96/x
  3. Step 3: Cross multiply
    471.94x = 708.36 × 197.96
  4. Step 4: Simplify right side
    471.94x = 140,222.66
  5. Step 5: Solve for x
    x = 140,222.66/471.94
  6. Step 6: Final answer
    x = 297.12

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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.