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Finding the Fourth Proportional to 472.24, 707.64 and 198.18

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Solution

The fourth proportional to 472.24, 707.64 and 198.18 is: 296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 707.64 = 198.18 : x
  2. Step 2: Convert to fraction form
    472.24/707.64 = 198.18/x
  3. Step 3: Cross multiply
    472.24x = 707.64 × 198.18
  4. Step 4: Simplify right side
    472.24x = 140,242.09
  5. Step 5: Solve for x
    x = 140,242.09/472.24
  6. Step 6: Final answer
    x = 296.97

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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.