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Finding the Fourth Proportional to 396.46, 546.93 and 296.71

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Solution

The fourth proportional to 396.46, 546.93 and 296.71 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.46 : 546.93 = 296.71 : x
  2. Step 2: Convert to fraction form
    396.46/546.93 = 296.71/x
  3. Step 3: Cross multiply
    396.46x = 546.93 × 296.71
  4. Step 4: Simplify right side
    396.46x = 162,278.23
  5. Step 5: Solve for x
    x = 162,278.23/396.46
  6. Step 6: Final answer
    x = 409.32

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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.