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Finding the Fourth Proportional to 286.89, 428.73 and 213.93

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Solution

The fourth proportional to 286.89, 428.73 and 213.93 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.89 : 428.73 = 213.93 : x
  2. Step 2: Convert to fraction form
    286.89/428.73 = 213.93/x
  3. Step 3: Cross multiply
    286.89x = 428.73 × 213.93
  4. Step 4: Simplify right side
    286.89x = 91,718.21
  5. Step 5: Solve for x
    x = 91,718.21/286.89
  6. Step 6: Final answer
    x = 319.70

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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.