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Finding the Fourth Proportional to 619.01, 927.71 and 463.72

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Solution

The fourth proportional to 619.01, 927.71 and 463.72 is: 694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.01 : 927.71 = 463.72 : x
  2. Step 2: Convert to fraction form
    619.01/927.71 = 463.72/x
  3. Step 3: Cross multiply
    619.01x = 927.71 × 463.72
  4. Step 4: Simplify right side
    619.01x = 430,190.72
  5. Step 5: Solve for x
    x = 430,190.72/619.01
  6. Step 6: Final answer
    x = 694.97

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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.