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Finding the Fourth Proportional to 362.63, 543.31 and 208.17

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Solution

The fourth proportional to 362.63, 543.31 and 208.17 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 543.31 = 208.17 : x
  2. Step 2: Convert to fraction form
    362.63/543.31 = 208.17/x
  3. Step 3: Cross multiply
    362.63x = 543.31 × 208.17
  4. Step 4: Simplify right side
    362.63x = 113,100.32
  5. Step 5: Solve for x
    x = 113,100.32/362.63
  6. Step 6: Final answer
    x = 311.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.