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Finding the Fourth Proportional to 513.40, 769.74 and 297.16

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Solution

The fourth proportional to 513.40, 769.74 and 297.16 is: 445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.40 : 769.74 = 297.16 : x
  2. Step 2: Convert to fraction form
    513.40/769.74 = 297.16/x
  3. Step 3: Cross multiply
    513.40x = 769.74 × 297.16
  4. Step 4: Simplify right side
    513.40x = 228,735.94
  5. Step 5: Solve for x
    x = 228,735.94/513.40
  6. Step 6: Final answer
    x = 445.53

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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.