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Finding the Fourth Proportional to 320, 478.80 and 273.76

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Solution

The fourth proportional to 320, 478.80 and 273.76 is: 409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 478.80 = 273.76 : x
  2. Step 2: Convert to fraction form
    320/478.80 = 273.76/x
  3. Step 3: Cross multiply
    320x = 478.80 × 273.76
  4. Step 4: Simplify right side
    320x = 131,076.29
  5. Step 5: Solve for x
    x = 131,076.29/320
  6. Step 6: Final answer
    x = 409.61

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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.