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Finding the Fourth Proportional to 577.41, 796.83 and 409.65

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Solution

The fourth proportional to 577.41, 796.83 and 409.65 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 796.83 = 409.65 : x
  2. Step 2: Convert to fraction form
    577.41/796.83 = 409.65/x
  3. Step 3: Cross multiply
    577.41x = 796.83 × 409.65
  4. Step 4: Simplify right side
    577.41x = 326,420.39
  5. Step 5: Solve for x
    x = 326,420.39/577.41
  6. Step 6: Final answer
    x = 565.32

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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.