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Finding the Fourth Proportional to 279.22, 416.69 and 275.80

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Solution

The fourth proportional to 279.22, 416.69 and 275.80 is: 411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.22 : 416.69 = 275.80 : x
  2. Step 2: Convert to fraction form
    279.22/416.69 = 275.80/x
  3. Step 3: Cross multiply
    279.22x = 416.69 × 275.80
  4. Step 4: Simplify right side
    279.22x = 114,923.10
  5. Step 5: Solve for x
    x = 114,923.10/279.22
  6. Step 6: Final answer
    x = 411.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.