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Finding the Fourth Proportional to 639.60, 881.44 and 464.64

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Solution

The fourth proportional to 639.60, 881.44 and 464.64 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.60 : 881.44 = 464.64 : x
  2. Step 2: Convert to fraction form
    639.60/881.44 = 464.64/x
  3. Step 3: Cross multiply
    639.60x = 881.44 × 464.64
  4. Step 4: Simplify right side
    639.60x = 409,552.28
  5. Step 5: Solve for x
    x = 409,552.28/639.60
  6. Step 6: Final answer
    x = 640.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.