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Finding the Fourth Proportional to 296.50, 409.24 and 209.20

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Solution

The fourth proportional to 296.50, 409.24 and 209.20 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 409.24 = 209.20 : x
  2. Step 2: Convert to fraction form
    296.50/409.24 = 209.20/x
  3. Step 3: Cross multiply
    296.50x = 409.24 × 209.20
  4. Step 4: Simplify right side
    296.50x = 85,613.01
  5. Step 5: Solve for x
    x = 85,613.01/296.50
  6. Step 6: Final answer
    x = 288.75

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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.