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Finding the Fourth Proportional to 514.15, 770.82 and 367.84

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Solution

The fourth proportional to 514.15, 770.82 and 367.84 is: 551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.15 : 770.82 = 367.84 : x
  2. Step 2: Convert to fraction form
    514.15/770.82 = 367.84/x
  3. Step 3: Cross multiply
    514.15x = 770.82 × 367.84
  4. Step 4: Simplify right side
    514.15x = 283,538.01
  5. Step 5: Solve for x
    x = 283,538.01/514.15
  6. Step 6: Final answer
    x = 551.47

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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.