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Finding the Fourth Proportional to 514.28, 770.72 and 445.64

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Solution

The fourth proportional to 514.28, 770.72 and 445.64 is: 667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.28 : 770.72 = 445.64 : x
  2. Step 2: Convert to fraction form
    514.28/770.72 = 445.64/x
  3. Step 3: Cross multiply
    514.28x = 770.72 × 445.64
  4. Step 4: Simplify right side
    514.28x = 343,457.58
  5. Step 5: Solve for x
    x = 343,457.58/514.28
  6. Step 6: Final answer
    x = 667.84

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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.