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Finding the Fourth Proportional to 460.28, 635.34 and 285.68

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Solution

The fourth proportional to 460.28, 635.34 and 285.68 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.28 : 635.34 = 285.68 : x
  2. Step 2: Convert to fraction form
    460.28/635.34 = 285.68/x
  3. Step 3: Cross multiply
    460.28x = 635.34 × 285.68
  4. Step 4: Simplify right side
    460.28x = 181,503.93
  5. Step 5: Solve for x
    x = 181,503.93/460.28
  6. Step 6: Final answer
    x = 394.33

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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.