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Finding the Fourth Proportional to 524.78, 723.94 and 338.21

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Solution

The fourth proportional to 524.78, 723.94 and 338.21 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.78 : 723.94 = 338.21 : x
  2. Step 2: Convert to fraction form
    524.78/723.94 = 338.21/x
  3. Step 3: Cross multiply
    524.78x = 723.94 × 338.21
  4. Step 4: Simplify right side
    524.78x = 244,842.00
  5. Step 5: Solve for x
    x = 244,842.00/524.78
  6. Step 6: Final answer
    x = 466.56

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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.