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Finding the Fourth Proportional to 639.60, 960.08 and 465.52

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Solution

The fourth proportional to 639.60, 960.08 and 465.52 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.60 : 960.08 = 465.52 : x
  2. Step 2: Convert to fraction form
    639.60/960.08 = 465.52/x
  3. Step 3: Cross multiply
    639.60x = 960.08 × 465.52
  4. Step 4: Simplify right side
    639.60x = 446,936.44
  5. Step 5: Solve for x
    x = 446,936.44/639.60
  6. Step 6: Final answer
    x = 698.77

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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.