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Finding the Fourth Proportional to 577.35, 796.66 and 341.31

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Solution

The fourth proportional to 577.35, 796.66 and 341.31 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 796.66 = 341.31 : x
  2. Step 2: Convert to fraction form
    577.35/796.66 = 341.31/x
  3. Step 3: Cross multiply
    577.35x = 796.66 × 341.31
  4. Step 4: Simplify right side
    577.35x = 271,908.02
  5. Step 5: Solve for x
    x = 271,908.02/577.35
  6. Step 6: Final answer
    x = 470.96

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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.