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Finding the Fourth Proportional to 517.04, 774.34 and 408.10

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Solution

The fourth proportional to 517.04, 774.34 and 408.10 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.04 : 774.34 = 408.10 : x
  2. Step 2: Convert to fraction form
    517.04/774.34 = 408.10/x
  3. Step 3: Cross multiply
    517.04x = 774.34 × 408.10
  4. Step 4: Simplify right side
    517.04x = 316,008.15
  5. Step 5: Solve for x
    x = 316,008.15/517.04
  6. Step 6: Final answer
    x = 611.19

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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.