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Finding the Fourth Proportional to 619.69, 929.09 and 311.28

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Solution

The fourth proportional to 619.69, 929.09 and 311.28 is: 466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.69 : 929.09 = 311.28 : x
  2. Step 2: Convert to fraction form
    619.69/929.09 = 311.28/x
  3. Step 3: Cross multiply
    619.69x = 929.09 × 311.28
  4. Step 4: Simplify right side
    619.69x = 289,207.14
  5. Step 5: Solve for x
    x = 289,207.14/619.69
  6. Step 6: Final answer
    x = 466.70

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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.