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Finding the Fourth Proportional to 513.96, 769.86 and 297.48

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Solution

The fourth proportional to 513.96, 769.86 and 297.48 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.96 : 769.86 = 297.48 : x
  2. Step 2: Convert to fraction form
    513.96/769.86 = 297.48/x
  3. Step 3: Cross multiply
    513.96x = 769.86 × 297.48
  4. Step 4: Simplify right side
    513.96x = 229,017.95
  5. Step 5: Solve for x
    x = 229,017.95/513.96
  6. Step 6: Final answer
    x = 445.59

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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.