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Finding the Fourth Proportional to 577.61, 796.88 and 367.73

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Solution

The fourth proportional to 577.61, 796.88 and 367.73 is: 507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.61 : 796.88 = 367.73 : x
  2. Step 2: Convert to fraction form
    577.61/796.88 = 367.73/x
  3. Step 3: Cross multiply
    577.61x = 796.88 × 367.73
  4. Step 4: Simplify right side
    577.61x = 293,034.84
  5. Step 5: Solve for x
    x = 293,034.84/577.61
  6. Step 6: Final answer
    x = 507.32

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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.