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Finding the Fourth Proportional to 460.20, 634.98 and 285.46

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Solution

The fourth proportional to 460.20, 634.98 and 285.46 is: 393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.20 : 634.98 = 285.46 : x
  2. Step 2: Convert to fraction form
    460.20/634.98 = 285.46/x
  3. Step 3: Cross multiply
    460.20x = 634.98 × 285.46
  4. Step 4: Simplify right side
    460.20x = 181,261.39
  5. Step 5: Solve for x
    x = 181,261.39/460.20
  6. Step 6: Final answer
    x = 393.88

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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.