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Finding the Fourth Proportional to 577.10, 796.41 and 341.00

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Solution

The fourth proportional to 577.10, 796.41 and 341.00 is: 470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.10 : 796.41 = 341.00 : x
  2. Step 2: Convert to fraction form
    577.10/796.41 = 341.00/x
  3. Step 3: Cross multiply
    577.10x = 796.41 × 341.00
  4. Step 4: Simplify right side
    577.10x = 271,571.83
  5. Step 5: Solve for x
    x = 271,571.83/577.10
  6. Step 6: Final answer
    x = 470.58

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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.