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Finding the Fourth Proportional to 286.62, 396.45 and 225.06

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Solution

The fourth proportional to 286.62, 396.45 and 225.06 is: 311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 396.45 = 225.06 : x
  2. Step 2: Convert to fraction form
    286.62/396.45 = 225.06/x
  3. Step 3: Cross multiply
    286.62x = 396.45 × 225.06
  4. Step 4: Simplify right side
    286.62x = 89,225.04
  5. Step 5: Solve for x
    x = 89,225.04/286.62
  6. Step 6: Final answer
    x = 311.30

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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.