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Finding the Fourth Proportional to 577.42, 796.83 and 381.07

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Solution

The fourth proportional to 577.42, 796.83 and 381.07 is: 525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 796.83 = 381.07 : x
  2. Step 2: Convert to fraction form
    577.42/796.83 = 381.07/x
  3. Step 3: Cross multiply
    577.42x = 796.83 × 381.07
  4. Step 4: Simplify right side
    577.42x = 303,648.01
  5. Step 5: Solve for x
    x = 303,648.01/577.42
  6. Step 6: Final answer
    x = 525.87

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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.