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Finding the Fourth Proportional to 396.06, 546.30 and 302.82

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Solution

The fourth proportional to 396.06, 546.30 and 302.82 is: 417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.06 : 546.30 = 302.82 : x
  2. Step 2: Convert to fraction form
    396.06/546.30 = 302.82/x
  3. Step 3: Cross multiply
    396.06x = 546.30 × 302.82
  4. Step 4: Simplify right side
    396.06x = 165,430.57
  5. Step 5: Solve for x
    x = 165,430.57/396.06
  6. Step 6: Final answer
    x = 417.69

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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.