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Finding the Fourth Proportional to 296.54, 409.82 and 244.02

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Solution

The fourth proportional to 296.54, 409.82 and 244.02 is: 337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.54 : 409.82 = 244.02 : x
  2. Step 2: Convert to fraction form
    296.54/409.82 = 244.02/x
  3. Step 3: Cross multiply
    296.54x = 409.82 × 244.02
  4. Step 4: Simplify right side
    296.54x = 100,004.28
  5. Step 5: Solve for x
    x = 100,004.28/296.54
  6. Step 6: Final answer
    x = 337.24

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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.