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Finding the Fourth Proportional to 472.94, 709.86 and 198.96

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Solution

The fourth proportional to 472.94, 709.86 and 198.96 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.94 : 709.86 = 198.96 : x
  2. Step 2: Convert to fraction form
    472.94/709.86 = 198.96/x
  3. Step 3: Cross multiply
    472.94x = 709.86 × 198.96
  4. Step 4: Simplify right side
    472.94x = 141,233.75
  5. Step 5: Solve for x
    x = 141,233.75/472.94
  6. Step 6: Final answer
    x = 298.63

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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.