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Finding the Fourth Proportional to 406.44, 560.38 and 275.22

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Solution

The fourth proportional to 406.44, 560.38 and 275.22 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 560.38 = 275.22 : x
  2. Step 2: Convert to fraction form
    406.44/560.38 = 275.22/x
  3. Step 3: Cross multiply
    406.44x = 560.38 × 275.22
  4. Step 4: Simplify right side
    406.44x = 154,227.78
  5. Step 5: Solve for x
    x = 154,227.78/406.44
  6. Step 6: Final answer
    x = 379.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.