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Finding the Fourth Proportional to 342.25, 472.20 and 209.41

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Solution

The fourth proportional to 342.25, 472.20 and 209.41 is: 288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.25 : 472.20 = 209.41 : x
  2. Step 2: Convert to fraction form
    342.25/472.20 = 209.41/x
  3. Step 3: Cross multiply
    342.25x = 472.20 × 209.41
  4. Step 4: Simplify right side
    342.25x = 98,883.40
  5. Step 5: Solve for x
    x = 98,883.40/342.25
  6. Step 6: Final answer
    x = 288.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.