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Finding the Fourth Proportional to 514.26, 771.77 and 377.66

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Solution

The fourth proportional to 514.26, 771.77 and 377.66 is: 566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.26 : 771.77 = 377.66 : x
  2. Step 2: Convert to fraction form
    514.26/771.77 = 377.66/x
  3. Step 3: Cross multiply
    514.26x = 771.77 × 377.66
  4. Step 4: Simplify right side
    514.26x = 291,466.66
  5. Step 5: Solve for x
    x = 291,466.66/514.26
  6. Step 6: Final answer
    x = 566.77

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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.