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Finding the Fourth Proportional to 517.93, 775.54 and 408.48

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Solution

The fourth proportional to 517.93, 775.54 and 408.48 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.93 : 775.54 = 408.48 : x
  2. Step 2: Convert to fraction form
    517.93/775.54 = 408.48/x
  3. Step 3: Cross multiply
    517.93x = 775.54 × 408.48
  4. Step 4: Simplify right side
    517.93x = 316,790.18
  5. Step 5: Solve for x
    x = 316,790.18/517.93
  6. Step 6: Final answer
    x = 611.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.