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Finding the Fourth Proportional to 577.24, 796.55 and 356.21

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Solution

The fourth proportional to 577.24, 796.55 and 356.21 is: 491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 796.55 = 356.21 : x
  2. Step 2: Convert to fraction form
    577.24/796.55 = 356.21/x
  3. Step 3: Cross multiply
    577.24x = 796.55 × 356.21
  4. Step 4: Simplify right side
    577.24x = 283,735.98
  5. Step 5: Solve for x
    x = 283,735.98/577.24
  6. Step 6: Final answer
    x = 491.54

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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.