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Finding the Fourth Proportional to 577.65, 796.53 and 411.80

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Solution

The fourth proportional to 577.65, 796.53 and 411.80 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.65 : 796.53 = 411.80 : x
  2. Step 2: Convert to fraction form
    577.65/796.53 = 411.80/x
  3. Step 3: Cross multiply
    577.65x = 796.53 × 411.80
  4. Step 4: Simplify right side
    577.65x = 328,007.07
  5. Step 5: Solve for x
    x = 328,007.07/577.65
  6. Step 6: Final answer
    x = 567.83

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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.