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Finding the Fourth Proportional to 460.33, 635.81 and 335.79

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Solution

The fourth proportional to 460.33, 635.81 and 335.79 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.33 : 635.81 = 335.79 : x
  2. Step 2: Convert to fraction form
    460.33/635.81 = 335.79/x
  3. Step 3: Cross multiply
    460.33x = 635.81 × 335.79
  4. Step 4: Simplify right side
    460.33x = 213,498.64
  5. Step 5: Solve for x
    x = 213,498.64/460.33
  6. Step 6: Final answer
    x = 463.79

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