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Finding the Fourth Proportional to 289.14, 399.24 and 215.78

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Solution

The fourth proportional to 289.14, 399.24 and 215.78 is: 297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 399.24 = 215.78 : x
  2. Step 2: Convert to fraction form
    289.14/399.24 = 215.78/x
  3. Step 3: Cross multiply
    289.14x = 399.24 × 215.78
  4. Step 4: Simplify right side
    289.14x = 86,148.01
  5. Step 5: Solve for x
    x = 86,148.01/289.14
  6. Step 6: Final answer
    x = 297.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.