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Finding the Fourth Proportional to 397.89, 548.52 and 332.28

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Solution

The fourth proportional to 397.89, 548.52 and 332.28 is: 458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 548.52 = 332.28 : x
  2. Step 2: Convert to fraction form
    397.89/548.52 = 332.28/x
  3. Step 3: Cross multiply
    397.89x = 548.52 × 332.28
  4. Step 4: Simplify right side
    397.89x = 182,262.23
  5. Step 5: Solve for x
    x = 182,262.23/397.89
  6. Step 6: Final answer
    x = 458.07

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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.