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Finding the Fourth Proportional to 355.84, 491.02 and 200.59

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Solution

The fourth proportional to 355.84, 491.02 and 200.59 is: 276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 491.02 = 200.59 : x
  2. Step 2: Convert to fraction form
    355.84/491.02 = 200.59/x
  3. Step 3: Cross multiply
    355.84x = 491.02 × 200.59
  4. Step 4: Simplify right side
    355.84x = 98,493.70
  5. Step 5: Solve for x
    x = 98,493.70/355.84
  6. Step 6: Final answer
    x = 276.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.