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Finding the Fourth Proportional to 319.71, 479.28 and 271.27

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Solution

The fourth proportional to 319.71, 479.28 and 271.27 is: 406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 479.28 = 271.27 : x
  2. Step 2: Convert to fraction form
    319.71/479.28 = 271.27/x
  3. Step 3: Cross multiply
    319.71x = 479.28 × 271.27
  4. Step 4: Simplify right side
    319.71x = 130,014.29
  5. Step 5: Solve for x
    x = 130,014.29/319.71
  6. Step 6: Final answer
    x = 406.66

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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.