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Finding the Fourth Proportional to 396.58, 593.85 and 242.30

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Solution

The fourth proportional to 396.58, 593.85 and 242.30 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.58 : 593.85 = 242.30 : x
  2. Step 2: Convert to fraction form
    396.58/593.85 = 242.30/x
  3. Step 3: Cross multiply
    396.58x = 593.85 × 242.30
  4. Step 4: Simplify right side
    396.58x = 143,888.47
  5. Step 5: Solve for x
    x = 143,888.47/396.58
  6. Step 6: Final answer
    x = 362.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.