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Finding the Fourth Proportional to 460.25, 635.43 and 285.69

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Solution

The fourth proportional to 460.25, 635.43 and 285.69 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 635.43 = 285.69 : x
  2. Step 2: Convert to fraction form
    460.25/635.43 = 285.69/x
  3. Step 3: Cross multiply
    460.25x = 635.43 × 285.69
  4. Step 4: Simplify right side
    460.25x = 181,536.00
  5. Step 5: Solve for x
    x = 181,536.00/460.25
  6. Step 6: Final answer
    x = 394.43

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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.