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Finding the Fourth Proportional to 577.69, 796.25 and 460.13

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Solution

The fourth proportional to 577.69, 796.25 and 460.13 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.69 : 796.25 = 460.13 : x
  2. Step 2: Convert to fraction form
    577.69/796.25 = 460.13/x
  3. Step 3: Cross multiply
    577.69x = 796.25 × 460.13
  4. Step 4: Simplify right side
    577.69x = 366,375.68
  5. Step 5: Solve for x
    x = 366,375.68/577.69
  6. Step 6: Final answer
    x = 634.21

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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.