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Finding the Fourth Proportional to 524.26, 723.96 and 338.07

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Solution

The fourth proportional to 524.26, 723.96 and 338.07 is: 466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.26 : 723.96 = 338.07 : x
  2. Step 2: Convert to fraction form
    524.26/723.96 = 338.07/x
  3. Step 3: Cross multiply
    524.26x = 723.96 × 338.07
  4. Step 4: Simplify right side
    524.26x = 244,753.14
  5. Step 5: Solve for x
    x = 244,753.14/524.26
  6. Step 6: Final answer
    x = 466.85

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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.