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Finding the Fourth Proportional to 396.50, 546.55 and 322.68

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Solution

The fourth proportional to 396.50, 546.55 and 322.68 is: 444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 546.55 = 322.68 : x
  2. Step 2: Convert to fraction form
    396.50/546.55 = 322.68/x
  3. Step 3: Cross multiply
    396.50x = 546.55 × 322.68
  4. Step 4: Simplify right side
    396.50x = 176,362.00
  5. Step 5: Solve for x
    x = 176,362.00/396.50
  6. Step 6: Final answer
    x = 444.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.