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Finding the Fourth Proportional to 296.56, 409.62 and 238.78

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Solution

The fourth proportional to 296.56, 409.62 and 238.78 is: 329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.56 : 409.62 = 238.78 : x
  2. Step 2: Convert to fraction form
    296.56/409.62 = 238.78/x
  3. Step 3: Cross multiply
    296.56x = 409.62 × 238.78
  4. Step 4: Simplify right side
    296.56x = 97,809.06
  5. Step 5: Solve for x
    x = 97,809.06/296.56
  6. Step 6: Final answer
    x = 329.81

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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.