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Finding the Fourth Proportional to 517.90, 776.07 and 408.34

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Solution

The fourth proportional to 517.90, 776.07 and 408.34 is: 611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.90 : 776.07 = 408.34 : x
  2. Step 2: Convert to fraction form
    517.90/776.07 = 408.34/x
  3. Step 3: Cross multiply
    517.90x = 776.07 × 408.34
  4. Step 4: Simplify right side
    517.90x = 316,900.42
  5. Step 5: Solve for x
    x = 316,900.42/517.90
  6. Step 6: Final answer
    x = 611.90

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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.