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Finding the Fourth Proportional to 514.68, 770.13 and 383.82

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Solution

The fourth proportional to 514.68, 770.13 and 383.82 is: 574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.68 : 770.13 = 383.82 : x
  2. Step 2: Convert to fraction form
    514.68/770.13 = 383.82/x
  3. Step 3: Cross multiply
    514.68x = 770.13 × 383.82
  4. Step 4: Simplify right side
    514.68x = 295,591.30
  5. Step 5: Solve for x
    x = 295,591.30/514.68
  6. Step 6: Final answer
    x = 574.32

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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.