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Finding the Fourth Proportional to 577.78, 796.98 and 467.26

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Solution

The fourth proportional to 577.78, 796.98 and 467.26 is: 644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.78 : 796.98 = 467.26 : x
  2. Step 2: Convert to fraction form
    577.78/796.98 = 467.26/x
  3. Step 3: Cross multiply
    577.78x = 796.98 × 467.26
  4. Step 4: Simplify right side
    577.78x = 372,396.87
  5. Step 5: Solve for x
    x = 372,396.87/577.78
  6. Step 6: Final answer
    x = 644.53

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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.