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Finding the Fourth Proportional to 296.59, 409.28 and 226.70

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Solution

The fourth proportional to 296.59, 409.28 and 226.70 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.59 : 409.28 = 226.70 : x
  2. Step 2: Convert to fraction form
    296.59/409.28 = 226.70/x
  3. Step 3: Cross multiply
    296.59x = 409.28 × 226.70
  4. Step 4: Simplify right side
    296.59x = 92,783.78
  5. Step 5: Solve for x
    x = 92,783.78/296.59
  6. Step 6: Final answer
    x = 312.84

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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.