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Finding the Fourth Proportional to 396.14, 595.10 and 286.79

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Solution

The fourth proportional to 396.14, 595.10 and 286.79 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 595.10 = 286.79 : x
  2. Step 2: Convert to fraction form
    396.14/595.10 = 286.79/x
  3. Step 3: Cross multiply
    396.14x = 595.10 × 286.79
  4. Step 4: Simplify right side
    396.14x = 170,666.47
  5. Step 5: Solve for x
    x = 170,666.47/396.14
  6. Step 6: Final answer
    x = 430.83

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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.