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Finding the Fourth Proportional to 396.16, 545.76 and 376.64

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Solution

The fourth proportional to 396.16, 545.76 and 376.64 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 545.76 = 376.64 : x
  2. Step 2: Convert to fraction form
    396.16/545.76 = 376.64/x
  3. Step 3: Cross multiply
    396.16x = 545.76 × 376.64
  4. Step 4: Simplify right side
    396.16x = 205,555.05
  5. Step 5: Solve for x
    x = 205,555.05/396.16
  6. Step 6: Final answer
    x = 518.87

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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.