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Finding the Fourth Proportional to 396.18, 591.37 and 345.18

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Solution

The fourth proportional to 396.18, 591.37 and 345.18 is: 515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.18 : 591.37 = 345.18 : x
  2. Step 2: Convert to fraction form
    396.18/591.37 = 345.18/x
  3. Step 3: Cross multiply
    396.18x = 591.37 × 345.18
  4. Step 4: Simplify right side
    396.18x = 204,129.10
  5. Step 5: Solve for x
    x = 204,129.10/396.18
  6. Step 6: Final answer
    x = 515.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.