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Finding the Fourth Proportional to 460.25, 635.15 and 253.25

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Solution

The fourth proportional to 460.25, 635.15 and 253.25 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 635.15 = 253.25 : x
  2. Step 2: Convert to fraction form
    460.25/635.15 = 253.25/x
  3. Step 3: Cross multiply
    460.25x = 635.15 × 253.25
  4. Step 4: Simplify right side
    460.25x = 160,851.74
  5. Step 5: Solve for x
    x = 160,851.74/460.25
  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.