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Finding the Fourth Proportional to 460.06, 634.89 and 253.06

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Solution

The fourth proportional to 460.06, 634.89 and 253.06 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.06 : 634.89 = 253.06 : x
  2. Step 2: Convert to fraction form
    460.06/634.89 = 253.06/x
  3. Step 3: Cross multiply
    460.06x = 634.89 × 253.06
  4. Step 4: Simplify right side
    460.06x = 160,665.26
  5. Step 5: Solve for x
    x = 160,665.26/460.06
  6. Step 6: Final answer
    x = 349.23

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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.