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Finding the Fourth Proportional to 619.02, 926.91 and 343.73

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Solution

The fourth proportional to 619.02, 926.91 and 343.73 is: 514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.02 : 926.91 = 343.73 : x
  2. Step 2: Convert to fraction form
    619.02/926.91 = 343.73/x
  3. Step 3: Cross multiply
    619.02x = 926.91 × 343.73
  4. Step 4: Simplify right side
    619.02x = 318,602.14
  5. Step 5: Solve for x
    x = 318,602.14/619.02
  6. Step 6: Final answer
    x = 514.69

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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.