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Finding the Fourth Proportional to 347.26, 523.50 and 323.77

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Solution

The fourth proportional to 347.26, 523.50 and 323.77 is: 488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.26 : 523.50 = 323.77 : x
  2. Step 2: Convert to fraction form
    347.26/523.50 = 323.77/x
  3. Step 3: Cross multiply
    347.26x = 523.50 × 323.77
  4. Step 4: Simplify right side
    347.26x = 169,493.60
  5. Step 5: Solve for x
    x = 169,493.60/347.26
  6. Step 6: Final answer
    x = 488.09

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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.