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Finding the Fourth Proportional to 296.68, 409.04 and 243.31

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Solution

The fourth proportional to 296.68, 409.04 and 243.31 is: 335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.68 : 409.04 = 243.31 : x
  2. Step 2: Convert to fraction form
    296.68/409.04 = 243.31/x
  3. Step 3: Cross multiply
    296.68x = 409.04 × 243.31
  4. Step 4: Simplify right side
    296.68x = 99,524.69
  5. Step 5: Solve for x
    x = 99,524.69/296.68
  6. Step 6: Final answer
    x = 335.46

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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.