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Finding the Fourth Proportional to 296.24, 408.90 and 237.33

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Solution

The fourth proportional to 296.24, 408.90 and 237.33 is: 327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 408.90 = 237.33 : x
  2. Step 2: Convert to fraction form
    296.24/408.90 = 237.33/x
  3. Step 3: Cross multiply
    296.24x = 408.90 × 237.33
  4. Step 4: Simplify right side
    296.24x = 97,044.24
  5. Step 5: Solve for x
    x = 97,044.24/296.24
  6. Step 6: Final answer
    x = 327.59

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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.