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Finding the Fourth Proportional to 282.88, 390.44 and 217.28

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Solution

The fourth proportional to 282.88, 390.44 and 217.28 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 390.44 = 217.28 : x
  2. Step 2: Convert to fraction form
    282.88/390.44 = 217.28/x
  3. Step 3: Cross multiply
    282.88x = 390.44 × 217.28
  4. Step 4: Simplify right side
    282.88x = 84,834.80
  5. Step 5: Solve for x
    x = 84,834.80/282.88
  6. Step 6: Final answer
    x = 299.90

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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.