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Finding the Fourth Proportional to 577.60, 796.96 and 356.48

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Solution

The fourth proportional to 577.60, 796.96 and 356.48 is: 491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 796.96 = 356.48 : x
  2. Step 2: Convert to fraction form
    577.60/796.96 = 356.48/x
  3. Step 3: Cross multiply
    577.60x = 796.96 × 356.48
  4. Step 4: Simplify right side
    577.60x = 284,100.30
  5. Step 5: Solve for x
    x = 284,100.30/577.60
  6. Step 6: Final answer
    x = 491.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.