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Finding the Fourth Proportional to 270.79, 405.72 and 213.38

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Solution

The fourth proportional to 270.79, 405.72 and 213.38 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.79 : 405.72 = 213.38 : x
  2. Step 2: Convert to fraction form
    270.79/405.72 = 213.38/x
  3. Step 3: Cross multiply
    270.79x = 405.72 × 213.38
  4. Step 4: Simplify right side
    270.79x = 86,572.53
  5. Step 5: Solve for x
    x = 86,572.53/270.79
  6. Step 6: Final answer
    x = 319.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.