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Finding the Fourth Proportional to 577.54, 796.96 and 341.46

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Solution

The fourth proportional to 577.54, 796.96 and 341.46 is: 471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.54 : 796.96 = 341.46 : x
  2. Step 2: Convert to fraction form
    577.54/796.96 = 341.46/x
  3. Step 3: Cross multiply
    577.54x = 796.96 × 341.46
  4. Step 4: Simplify right side
    577.54x = 272,129.96
  5. Step 5: Solve for x
    x = 272,129.96/577.54
  6. Step 6: Final answer
    x = 471.19

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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.