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Finding the Fourth Proportional to 478.71, 717.98 and 273.17

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Solution

The fourth proportional to 478.71, 717.98 and 273.17 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.71 : 717.98 = 273.17 : x
  2. Step 2: Convert to fraction form
    478.71/717.98 = 273.17/x
  3. Step 3: Cross multiply
    478.71x = 717.98 × 273.17
  4. Step 4: Simplify right side
    478.71x = 196,131.03
  5. Step 5: Solve for x
    x = 196,131.03/478.71
  6. Step 6: Final answer
    x = 409.71

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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.