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Finding the Fourth Proportional to 353.42, 487.72 and 206.06

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Solution

The fourth proportional to 353.42, 487.72 and 206.06 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.42 : 487.72 = 206.06 : x
  2. Step 2: Convert to fraction form
    353.42/487.72 = 206.06/x
  3. Step 3: Cross multiply
    353.42x = 487.72 × 206.06
  4. Step 4: Simplify right side
    353.42x = 100,499.58
  5. Step 5: Solve for x
    x = 100,499.58/353.42
  6. Step 6: Final answer
    x = 284.36

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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.