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Finding the Fourth Proportional to 577.67, 796.91 and 356.54

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Solution

The fourth proportional to 577.67, 796.91 and 356.54 is: 491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.67 : 796.91 = 356.54 : x
  2. Step 2: Convert to fraction form
    577.67/796.91 = 356.54/x
  3. Step 3: Cross multiply
    577.67x = 796.91 × 356.54
  4. Step 4: Simplify right side
    577.67x = 284,124.52
  5. Step 5: Solve for x
    x = 284,124.52/577.67
  6. Step 6: Final answer
    x = 491.85

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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.