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Finding the Fourth Proportional to 352.74, 486.71 and 205.30

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Solution

The fourth proportional to 352.74, 486.71 and 205.30 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.74 : 486.71 = 205.30 : x
  2. Step 2: Convert to fraction form
    352.74/486.71 = 205.30/x
  3. Step 3: Cross multiply
    352.74x = 486.71 × 205.30
  4. Step 4: Simplify right side
    352.74x = 99,921.56
  5. Step 5: Solve for x
    x = 99,921.56/352.74
  6. Step 6: Final answer
    x = 283.27

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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.