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Finding the Fourth Proportional to 460.25, 635.69 and 304.73

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Solution

The fourth proportional to 460.25, 635.69 and 304.73 is: 420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 635.69 = 304.73 : x
  2. Step 2: Convert to fraction form
    460.25/635.69 = 304.73/x
  3. Step 3: Cross multiply
    460.25x = 635.69 × 304.73
  4. Step 4: Simplify right side
    460.25x = 193,713.81
  5. Step 5: Solve for x
    x = 193,713.81/460.25
  6. Step 6: Final answer
    x = 420.89

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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.