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Finding the Fourth Proportional to 296.66, 408.49 and 234.29

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Solution

The fourth proportional to 296.66, 408.49 and 234.29 is: 322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.66 : 408.49 = 234.29 : x
  2. Step 2: Convert to fraction form
    296.66/408.49 = 234.29/x
  3. Step 3: Cross multiply
    296.66x = 408.49 × 234.29
  4. Step 4: Simplify right side
    296.66x = 95,702.49
  5. Step 5: Solve for x
    x = 95,702.49/296.66
  6. Step 6: Final answer
    x = 322.61

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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.