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Finding the Fourth Proportional to 396.50, 546.95 and 298.08

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Solution

The fourth proportional to 396.50, 546.95 and 298.08 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 546.95 = 298.08 : x
  2. Step 2: Convert to fraction form
    396.50/546.95 = 298.08/x
  3. Step 3: Cross multiply
    396.50x = 546.95 × 298.08
  4. Step 4: Simplify right side
    396.50x = 163,035.60
  5. Step 5: Solve for x
    x = 163,035.60/396.50
  6. Step 6: Final answer
    x = 411.19

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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.