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Finding the Fourth Proportional to 296.71, 409.38 and 241.36

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Solution

The fourth proportional to 296.71, 409.38 and 241.36 is: 333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.71 : 409.38 = 241.36 : x
  2. Step 2: Convert to fraction form
    296.71/409.38 = 241.36/x
  3. Step 3: Cross multiply
    296.71x = 409.38 × 241.36
  4. Step 4: Simplify right side
    296.71x = 98,807.96
  5. Step 5: Solve for x
    x = 98,807.96/296.71
  6. Step 6: Final answer
    x = 333.01

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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.