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Finding the Fourth Proportional to 513.40, 769.86 and 297.04

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Solution

The fourth proportional to 513.40, 769.86 and 297.04 is: 445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.40 : 769.86 = 297.04 : x
  2. Step 2: Convert to fraction form
    513.40/769.86 = 297.04/x
  3. Step 3: Cross multiply
    513.40x = 769.86 × 297.04
  4. Step 4: Simplify right side
    513.40x = 228,679.21
  5. Step 5: Solve for x
    x = 228,679.21/513.40
  6. Step 6: Final answer
    x = 445.42

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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.