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Finding the Fourth Proportional to 639.39, 958.24 and 464.28

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Solution

The fourth proportional to 639.39, 958.24 and 464.28 is: 695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.39 : 958.24 = 464.28 : x
  2. Step 2: Convert to fraction form
    639.39/958.24 = 464.28/x
  3. Step 3: Cross multiply
    639.39x = 958.24 × 464.28
  4. Step 4: Simplify right side
    639.39x = 444,891.67
  5. Step 5: Solve for x
    x = 444,891.67/639.39
  6. Step 6: Final answer
    x = 695.81

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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.