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Finding the Fourth Proportional to 619.43, 927.92 and 465.53

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Solution

The fourth proportional to 619.43, 927.92 and 465.53 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.43 : 927.92 = 465.53 : x
  2. Step 2: Convert to fraction form
    619.43/927.92 = 465.53/x
  3. Step 3: Cross multiply
    619.43x = 927.92 × 465.53
  4. Step 4: Simplify right side
    619.43x = 431,967.63
  5. Step 5: Solve for x
    x = 431,967.63/619.43
  6. Step 6: Final answer
    x = 697.37

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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.