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Finding the Fourth Proportional to 524.44, 722.82 and 393.22

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Solution

The fourth proportional to 524.44, 722.82 and 393.22 is: 541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.44 : 722.82 = 393.22 : x
  2. Step 2: Convert to fraction form
    524.44/722.82 = 393.22/x
  3. Step 3: Cross multiply
    524.44x = 722.82 × 393.22
  4. Step 4: Simplify right side
    524.44x = 284,227.28
  5. Step 5: Solve for x
    x = 284,227.28/524.44
  6. Step 6: Final answer
    x = 541.96

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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.