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Finding the Fourth Proportional to 472.34, 708.72 and 198.49

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Solution

The fourth proportional to 472.34, 708.72 and 198.49 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.34 : 708.72 = 198.49 : x
  2. Step 2: Convert to fraction form
    472.34/708.72 = 198.49/x
  3. Step 3: Cross multiply
    472.34x = 708.72 × 198.49
  4. Step 4: Simplify right side
    472.34x = 140,673.83
  5. Step 5: Solve for x
    x = 140,673.83/472.34
  6. Step 6: Final answer
    x = 297.82

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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.