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Finding the Fourth Proportional to 355.82, 490.96 and 208.40

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Solution

The fourth proportional to 355.82, 490.96 and 208.40 is: 287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.82 : 490.96 = 208.40 : x
  2. Step 2: Convert to fraction form
    355.82/490.96 = 208.40/x
  3. Step 3: Cross multiply
    355.82x = 490.96 × 208.40
  4. Step 4: Simplify right side
    355.82x = 102,316.06
  5. Step 5: Solve for x
    x = 102,316.06/355.82
  6. Step 6: Final answer
    x = 287.55

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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.