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Finding the Fourth Proportional to 288.19, 396.99 and 209.28

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Solution

The fourth proportional to 288.19, 396.99 and 209.28 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.19 : 396.99 = 209.28 : x
  2. Step 2: Convert to fraction form
    288.19/396.99 = 209.28/x
  3. Step 3: Cross multiply
    288.19x = 396.99 × 209.28
  4. Step 4: Simplify right side
    288.19x = 83,081.32
  5. Step 5: Solve for x
    x = 83,081.32/288.19
  6. Step 6: Final answer
    x = 288.29

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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.