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Finding the Fourth Proportional to 460.74, 635.83 and 250.92

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Solution

The fourth proportional to 460.74, 635.83 and 250.92 is: 346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.74 : 635.83 = 250.92 : x
  2. Step 2: Convert to fraction form
    460.74/635.83 = 250.92/x
  3. Step 3: Cross multiply
    460.74x = 635.83 × 250.92
  4. Step 4: Simplify right side
    460.74x = 159,542.46
  5. Step 5: Solve for x
    x = 159,542.46/460.74
  6. Step 6: Final answer
    x = 346.27

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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.