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Finding the Fourth Proportional to 319.47, 478.25 and 270.51

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Solution

The fourth proportional to 319.47, 478.25 and 270.51 is: 404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 478.25 = 270.51 : x
  2. Step 2: Convert to fraction form
    319.47/478.25 = 270.51/x
  3. Step 3: Cross multiply
    319.47x = 478.25 × 270.51
  4. Step 4: Simplify right side
    319.47x = 129,370.05
  5. Step 5: Solve for x
    x = 129,370.05/319.47
  6. Step 6: Final answer
    x = 404.95

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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.