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Finding the Fourth Proportional to 347.18, 478.97 and 199.79

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Solution

The fourth proportional to 347.18, 478.97 and 199.79 is: 275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.18 : 478.97 = 199.79 : x
  2. Step 2: Convert to fraction form
    347.18/478.97 = 199.79/x
  3. Step 3: Cross multiply
    347.18x = 478.97 × 199.79
  4. Step 4: Simplify right side
    347.18x = 95,690.02
  5. Step 5: Solve for x
    x = 95,690.02/347.18
  6. Step 6: Final answer
    x = 275.62

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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.