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Finding the Fourth Proportional to 355.75, 491.03 and 200.59

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Solution

The fourth proportional to 355.75, 491.03 and 200.59 is: 276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.75 : 491.03 = 200.59 : x
  2. Step 2: Convert to fraction form
    355.75/491.03 = 200.59/x
  3. Step 3: Cross multiply
    355.75x = 491.03 × 200.59
  4. Step 4: Simplify right side
    355.75x = 98,494.70
  5. Step 5: Solve for x
    x = 98,494.70/355.75
  6. Step 6: Final answer
    x = 276.86

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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.