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Finding the Fourth Proportional to 353.83, 488.21 and 206.49

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Solution

The fourth proportional to 353.83, 488.21 and 206.49 is: 284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.83 : 488.21 = 206.49 : x
  2. Step 2: Convert to fraction form
    353.83/488.21 = 206.49/x
  3. Step 3: Cross multiply
    353.83x = 488.21 × 206.49
  4. Step 4: Simplify right side
    353.83x = 100,807.01
  5. Step 5: Solve for x
    x = 100,807.01/353.83
  6. Step 6: Final answer
    x = 284.90

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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.