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Finding the Fourth Proportional to 460.26, 635.14 and 253.26

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Solution

The fourth proportional to 460.26, 635.14 and 253.26 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 635.14 = 253.26 : x
  2. Step 2: Convert to fraction form
    460.26/635.14 = 253.26/x
  3. Step 3: Cross multiply
    460.26x = 635.14 × 253.26
  4. Step 4: Simplify right side
    460.26x = 160,855.56
  5. Step 5: Solve for x
    x = 160,855.56/460.26
  6. Step 6: Final answer
    x = 349.49

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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.