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Finding the Fourth Proportional to 460.26, 635.16 and 250.43

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Solution

The fourth proportional to 460.26, 635.16 and 250.43 is: 345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 635.16 = 250.43 : x
  2. Step 2: Convert to fraction form
    460.26/635.16 = 250.43/x
  3. Step 3: Cross multiply
    460.26x = 635.16 × 250.43
  4. Step 4: Simplify right side
    460.26x = 159,063.45
  5. Step 5: Solve for x
    x = 159,063.45/460.26
  6. Step 6: Final answer
    x = 345.60

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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.