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Finding the Fourth Proportional to 396.81, 546.47 and 357.13

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Solution

The fourth proportional to 396.81, 546.47 and 357.13 is: 491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.81 : 546.47 = 357.13 : x
  2. Step 2: Convert to fraction form
    396.81/546.47 = 357.13/x
  3. Step 3: Cross multiply
    396.81x = 546.47 × 357.13
  4. Step 4: Simplify right side
    396.81x = 195,159.05
  5. Step 5: Solve for x
    x = 195,159.05/396.81
  6. Step 6: Final answer
    x = 491.82

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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.