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Finding the Fourth Proportional to 619.32, 927.96 and 482.02

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Solution

The fourth proportional to 619.32, 927.96 and 482.02 is: 722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.32 : 927.96 = 482.02 : x
  2. Step 2: Convert to fraction form
    619.32/927.96 = 482.02/x
  3. Step 3: Cross multiply
    619.32x = 927.96 × 482.02
  4. Step 4: Simplify right side
    619.32x = 447,295.28
  5. Step 5: Solve for x
    x = 447,295.28/619.32
  6. Step 6: Final answer
    x = 722.24

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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.