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Finding the Fourth Proportional to 296.73, 409.32 and 209.25

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Solution

The fourth proportional to 296.73, 409.32 and 209.25 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.73 : 409.32 = 209.25 : x
  2. Step 2: Convert to fraction form
    296.73/409.32 = 209.25/x
  3. Step 3: Cross multiply
    296.73x = 409.32 × 209.25
  4. Step 4: Simplify right side
    296.73x = 85,650.21
  5. Step 5: Solve for x
    x = 85,650.21/296.73
  6. Step 6: Final answer
    x = 288.65

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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.