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Finding the Fourth Proportional to 577.11, 796.32 and 364.31

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Solution

The fourth proportional to 577.11, 796.32 and 364.31 is: 502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.11 : 796.32 = 364.31 : x
  2. Step 2: Convert to fraction form
    577.11/796.32 = 364.31/x
  3. Step 3: Cross multiply
    577.11x = 796.32 × 364.31
  4. Step 4: Simplify right side
    577.11x = 290,106.95
  5. Step 5: Solve for x
    x = 290,106.95/577.11
  6. Step 6: Final answer
    x = 502.69

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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.