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Finding the Fourth Proportional to 514.33, 770.81 and 189.39

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Solution

The fourth proportional to 514.33, 770.81 and 189.39 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.33 : 770.81 = 189.39 : x
  2. Step 2: Convert to fraction form
    514.33/770.81 = 189.39/x
  3. Step 3: Cross multiply
    514.33x = 770.81 × 189.39
  4. Step 4: Simplify right side
    514.33x = 145,983.71
  5. Step 5: Solve for x
    x = 145,983.71/514.33
  6. Step 6: Final answer
    x = 283.83

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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.