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Finding the Fourth Proportional to 406.41, 560.46 and 275.37

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Solution

The fourth proportional to 406.41, 560.46 and 275.37 is: 379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.41 : 560.46 = 275.37 : x
  2. Step 2: Convert to fraction form
    406.41/560.46 = 275.37/x
  3. Step 3: Cross multiply
    406.41x = 560.46 × 275.37
  4. Step 4: Simplify right side
    406.41x = 154,333.87
  5. Step 5: Solve for x
    x = 154,333.87/406.41
  6. Step 6: Final answer
    x = 379.75

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