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Finding the Fourth Proportional to 577.22, 796.57 and 356.16

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Solution

The fourth proportional to 577.22, 796.57 and 356.16 is: 491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 796.57 = 356.16 : x
  2. Step 2: Convert to fraction form
    577.22/796.57 = 356.16/x
  3. Step 3: Cross multiply
    577.22x = 796.57 × 356.16
  4. Step 4: Simplify right side
    577.22x = 283,706.37
  5. Step 5: Solve for x
    x = 283,706.37/577.22
  6. Step 6: Final answer
    x = 491.50

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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.