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Finding the Fourth Proportional to 287.48, 396.45 and 209.32

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Solution

The fourth proportional to 287.48, 396.45 and 209.32 is: 288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 396.45 = 209.32 : x
  2. Step 2: Convert to fraction form
    287.48/396.45 = 209.32/x
  3. Step 3: Cross multiply
    287.48x = 396.45 × 209.32
  4. Step 4: Simplify right side
    287.48x = 82,983.92
  5. Step 5: Solve for x
    x = 82,983.92/287.48
  6. Step 6: Final answer
    x = 288.66

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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.