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Finding the Fourth Proportional to 353.24, 487.27 and 205.77

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Solution

The fourth proportional to 353.24, 487.27 and 205.77 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.24 : 487.27 = 205.77 : x
  2. Step 2: Convert to fraction form
    353.24/487.27 = 205.77/x
  3. Step 3: Cross multiply
    353.24x = 487.27 × 205.77
  4. Step 4: Simplify right side
    353.24x = 100,266.47
  5. Step 5: Solve for x
    x = 100,266.47/353.24
  6. Step 6: Final answer
    x = 283.84

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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.