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Finding the Fourth Proportional to 514.13, 771.39 and 225.77

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Solution

The fourth proportional to 514.13, 771.39 and 225.77 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 771.39 = 225.77 : x
  2. Step 2: Convert to fraction form
    514.13/771.39 = 225.77/x
  3. Step 3: Cross multiply
    514.13x = 771.39 × 225.77
  4. Step 4: Simplify right side
    514.13x = 174,152.86
  5. Step 5: Solve for x
    x = 174,152.86/514.13
  6. Step 6: Final answer
    x = 338.74

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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.