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Finding the Fourth Proportional to 396.06, 545.66 and 313.14

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Solution

The fourth proportional to 396.06, 545.66 and 313.14 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.06 : 545.66 = 313.14 : x
  2. Step 2: Convert to fraction form
    396.06/545.66 = 313.14/x
  3. Step 3: Cross multiply
    396.06x = 545.66 × 313.14
  4. Step 4: Simplify right side
    396.06x = 170,867.97
  5. Step 5: Solve for x
    x = 170,867.97/396.06
  6. Step 6: Final answer
    x = 431.42

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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.