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Finding the Fourth Proportional to 514.32, 770.87 and 297.44

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Solution

The fourth proportional to 514.32, 770.87 and 297.44 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.32 : 770.87 = 297.44 : x
  2. Step 2: Convert to fraction form
    514.32/770.87 = 297.44/x
  3. Step 3: Cross multiply
    514.32x = 770.87 × 297.44
  4. Step 4: Simplify right side
    514.32x = 229,287.57
  5. Step 5: Solve for x
    x = 229,287.57/514.32
  6. Step 6: Final answer
    x = 445.81

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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.