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Finding the Fourth Proportional to 397.28, 548.30 and 379.76

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Solution

The fourth proportional to 397.28, 548.30 and 379.76 is: 524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.28 : 548.30 = 379.76 : x
  2. Step 2: Convert to fraction form
    397.28/548.30 = 379.76/x
  3. Step 3: Cross multiply
    397.28x = 548.30 × 379.76
  4. Step 4: Simplify right side
    397.28x = 208,221.42
  5. Step 5: Solve for x
    x = 208,221.42/397.28
  6. Step 6: Final answer
    x = 524.12

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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.