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Finding the Fourth Proportional to 296.29, 409.34 and 226.59

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Solution

The fourth proportional to 296.29, 409.34 and 226.59 is: 313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.29 : 409.34 = 226.59 : x
  2. Step 2: Convert to fraction form
    296.29/409.34 = 226.59/x
  3. Step 3: Cross multiply
    296.29x = 409.34 × 226.59
  4. Step 4: Simplify right side
    296.29x = 92,752.35
  5. Step 5: Solve for x
    x = 92,752.35/296.29
  6. Step 6: Final answer
    x = 313.05

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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.