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Finding the Fourth Proportional to 577.03, 796.06 and 377.80

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Solution

The fourth proportional to 577.03, 796.06 and 377.80 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.03 : 796.06 = 377.80 : x
  2. Step 2: Convert to fraction form
    577.03/796.06 = 377.80/x
  3. Step 3: Cross multiply
    577.03x = 796.06 × 377.80
  4. Step 4: Simplify right side
    577.03x = 300,751.47
  5. Step 5: Solve for x
    x = 300,751.47/577.03
  6. Step 6: Final answer
    x = 521.21

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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.