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Finding the Fourth Proportional to 396.07, 546.32 and 277.86

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Solution

The fourth proportional to 396.07, 546.32 and 277.86 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.07 : 546.32 = 277.86 : x
  2. Step 2: Convert to fraction form
    396.07/546.32 = 277.86/x
  3. Step 3: Cross multiply
    396.07x = 546.32 × 277.86
  4. Step 4: Simplify right side
    396.07x = 151,803.22
  5. Step 5: Solve for x
    x = 151,803.22/396.07
  6. Step 6: Final answer
    x = 383.28

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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.