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Finding the Fourth Proportional to 319.37, 478.37 and 270.84

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Solution

The fourth proportional to 319.37, 478.37 and 270.84 is: 405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.37 : 478.37 = 270.84 : x
  2. Step 2: Convert to fraction form
    319.37/478.37 = 270.84/x
  3. Step 3: Cross multiply
    319.37x = 478.37 × 270.84
  4. Step 4: Simplify right side
    319.37x = 129,560.38
  5. Step 5: Solve for x
    x = 129,560.38/319.37
  6. Step 6: Final answer
    x = 405.68

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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.