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Finding the Fourth Proportional to 514.21, 769.63 and 377.22

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Solution

The fourth proportional to 514.21, 769.63 and 377.22 is: 564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.21 : 769.63 = 377.22 : x
  2. Step 2: Convert to fraction form
    514.21/769.63 = 377.22/x
  3. Step 3: Cross multiply
    514.21x = 769.63 × 377.22
  4. Step 4: Simplify right side
    514.21x = 290,319.83
  5. Step 5: Solve for x
    x = 290,319.83/514.21
  6. Step 6: Final answer
    x = 564.59

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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.