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Finding the Fourth Proportional to 467.73, 639.74 and 460.17

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Solution

The fourth proportional to 467.73, 639.74 and 460.17 is: 629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.73 : 639.74 = 460.17 : x
  2. Step 2: Convert to fraction form
    467.73/639.74 = 460.17/x
  3. Step 3: Cross multiply
    467.73x = 639.74 × 460.17
  4. Step 4: Simplify right side
    467.73x = 294,390.31
  5. Step 5: Solve for x
    x = 294,390.31/467.73
  6. Step 6: Final answer
    x = 629.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.