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Finding the Fourth Proportional to 294.57, 406.26 and 276.95

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Solution

The fourth proportional to 294.57, 406.26 and 276.95 is: 381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 406.26 = 276.95 : x
  2. Step 2: Convert to fraction form
    294.57/406.26 = 276.95/x
  3. Step 3: Cross multiply
    294.57x = 406.26 × 276.95
  4. Step 4: Simplify right side
    294.57x = 112,513.71
  5. Step 5: Solve for x
    x = 112,513.71/294.57
  6. Step 6: Final answer
    x = 381.96

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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.