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Finding the Fourth Proportional to 353.42, 487.73 and 206.04

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Solution

The fourth proportional to 353.42, 487.73 and 206.04 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.42 : 487.73 = 206.04 : x
  2. Step 2: Convert to fraction form
    353.42/487.73 = 206.04/x
  3. Step 3: Cross multiply
    353.42x = 487.73 × 206.04
  4. Step 4: Simplify right side
    353.42x = 100,491.89
  5. Step 5: Solve for x
    x = 100,491.89/353.42
  6. Step 6: Final answer
    x = 284.34

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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.