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Finding the Fourth Proportional to 478.50, 717.44 and 273.17

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Solution

The fourth proportional to 478.50, 717.44 and 273.17 is: 409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 717.44 = 273.17 : x
  2. Step 2: Convert to fraction form
    478.50/717.44 = 273.17/x
  3. Step 3: Cross multiply
    478.50x = 717.44 × 273.17
  4. Step 4: Simplify right side
    478.50x = 195,978.13
  5. Step 5: Solve for x
    x = 195,978.13/478.50
  6. Step 6: Final answer
    x = 409.57

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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.