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Finding the Fourth Proportional to 286.99, 428.68 and 282.13

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Solution

The fourth proportional to 286.99, 428.68 and 282.13 is: 421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 428.68 = 282.13 : x
  2. Step 2: Convert to fraction form
    286.99/428.68 = 282.13/x
  3. Step 3: Cross multiply
    286.99x = 428.68 × 282.13
  4. Step 4: Simplify right side
    286.99x = 120,942.77
  5. Step 5: Solve for x
    x = 120,942.77/286.99
  6. Step 6: Final answer
    x = 421.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.