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Finding the Fourth Proportional to 472.24, 708.54 and 198.64

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Solution

The fourth proportional to 472.24, 708.54 and 198.64 is: 298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 708.54 = 198.64 : x
  2. Step 2: Convert to fraction form
    472.24/708.54 = 198.64/x
  3. Step 3: Cross multiply
    472.24x = 708.54 × 198.64
  4. Step 4: Simplify right side
    472.24x = 140,744.39
  5. Step 5: Solve for x
    x = 140,744.39/472.24
  6. Step 6: Final answer
    x = 298.04

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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.