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Finding the Fourth Proportional to 352.93, 487.00 and 205.55

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Solution

The fourth proportional to 352.93, 487.00 and 205.55 is: 283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.93 : 487.00 = 205.55 : x
  2. Step 2: Convert to fraction form
    352.93/487.00 = 205.55/x
  3. Step 3: Cross multiply
    352.93x = 487.00 × 205.55
  4. Step 4: Simplify right side
    352.93x = 100,101.82
  5. Step 5: Solve for x
    x = 100,101.82/352.93
  6. Step 6: Final answer
    x = 283.63

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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.