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Finding the Fourth Proportional to 557.31, 769.45 and 347.79

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Solution

The fourth proportional to 557.31, 769.45 and 347.79 is: 480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 769.45 = 347.79 : x
  2. Step 2: Convert to fraction form
    557.31/769.45 = 347.79/x
  3. Step 3: Cross multiply
    557.31x = 769.45 × 347.79
  4. Step 4: Simplify right side
    557.31x = 267,609.68
  5. Step 5: Solve for x
    x = 267,609.68/557.31
  6. Step 6: Final answer
    x = 480.19

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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.