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Finding the Fourth Proportional to 347.67, 523.92 and 327.15

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Solution

The fourth proportional to 347.67, 523.92 and 327.15 is: 493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.67 : 523.92 = 327.15 : x
  2. Step 2: Convert to fraction form
    347.67/523.92 = 327.15/x
  3. Step 3: Cross multiply
    347.67x = 523.92 × 327.15
  4. Step 4: Simplify right side
    347.67x = 171,400.43
  5. Step 5: Solve for x
    x = 171,400.43/347.67
  6. Step 6: Final answer
    x = 493.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.