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Finding the Fourth Proportional to 287.22, 395.76 and 213.45

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Solution

The fourth proportional to 287.22, 395.76 and 213.45 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.22 : 395.76 = 213.45 : x
  2. Step 2: Convert to fraction form
    287.22/395.76 = 213.45/x
  3. Step 3: Cross multiply
    287.22x = 395.76 × 213.45
  4. Step 4: Simplify right side
    287.22x = 84,474.97
  5. Step 5: Solve for x
    x = 84,474.97/287.22
  6. Step 6: Final answer
    x = 294.11

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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.