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Finding the Fourth Proportional to 347.79, 523.36 and 286.54

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Solution

The fourth proportional to 347.79, 523.36 and 286.54 is: 431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.79 : 523.36 = 286.54 : x
  2. Step 2: Convert to fraction form
    347.79/523.36 = 286.54/x
  3. Step 3: Cross multiply
    347.79x = 523.36 × 286.54
  4. Step 4: Simplify right side
    347.79x = 149,960.24
  5. Step 5: Solve for x
    x = 149,960.24/347.79
  6. Step 6: Final answer
    x = 431.18

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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.