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Finding the Fourth Proportional to 296.64, 409.56 and 209.40

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Solution

The fourth proportional to 296.64, 409.56 and 209.40 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 409.56 = 209.40 : x
  2. Step 2: Convert to fraction form
    296.64/409.56 = 209.40/x
  3. Step 3: Cross multiply
    296.64x = 409.56 × 209.40
  4. Step 4: Simplify right side
    296.64x = 85,761.86
  5. Step 5: Solve for x
    x = 85,761.86/296.64
  6. Step 6: Final answer
    x = 289.11

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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.