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Finding the Fourth Proportional to 296.57, 409.04 and 208.03

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Solution

The fourth proportional to 296.57, 409.04 and 208.03 is: 286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.57 : 409.04 = 208.03 : x
  2. Step 2: Convert to fraction form
    296.57/409.04 = 208.03/x
  3. Step 3: Cross multiply
    296.57x = 409.04 × 208.03
  4. Step 4: Simplify right side
    296.57x = 85,092.59
  5. Step 5: Solve for x
    x = 85,092.59/296.57
  6. Step 6: Final answer
    x = 286.92

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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.