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Finding the Fourth Proportional to 362.70, 543.45 and 311.10

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Solution

The fourth proportional to 362.70, 543.45 and 311.10 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 543.45 = 311.10 : x
  2. Step 2: Convert to fraction form
    362.70/543.45 = 311.10/x
  3. Step 3: Cross multiply
    362.70x = 543.45 × 311.10
  4. Step 4: Simplify right side
    362.70x = 169,067.30
  5. Step 5: Solve for x
    x = 169,067.30/362.70
  6. Step 6: Final answer
    x = 466.14

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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.