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Finding the Fourth Proportional to 396.56, 546.56 and 322.72

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Solution

The fourth proportional to 396.56, 546.56 and 322.72 is: 444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 546.56 = 322.72 : x
  2. Step 2: Convert to fraction form
    396.56/546.56 = 322.72/x
  3. Step 3: Cross multiply
    396.56x = 546.56 × 322.72
  4. Step 4: Simplify right side
    396.56x = 176,385.84
  5. Step 5: Solve for x
    x = 176,385.84/396.56
  6. Step 6: Final answer
    x = 444.79

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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.