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Finding the Fourth Proportional to 472.82, 709.34 and 195.18

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Solution

The fourth proportional to 472.82, 709.34 and 195.18 is: 292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.82 : 709.34 = 195.18 : x
  2. Step 2: Convert to fraction form
    472.82/709.34 = 195.18/x
  3. Step 3: Cross multiply
    472.82x = 709.34 × 195.18
  4. Step 4: Simplify right side
    472.82x = 138,448.01
  5. Step 5: Solve for x
    x = 138,448.01/472.82
  6. Step 6: Final answer
    x = 292.81

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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.