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Finding the Fourth Proportional to 513.60, 768.99 and 397.06

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Solution

The fourth proportional to 513.60, 768.99 and 397.06 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 768.99 = 397.06 : x
  2. Step 2: Convert to fraction form
    513.60/768.99 = 397.06/x
  3. Step 3: Cross multiply
    513.60x = 768.99 × 397.06
  4. Step 4: Simplify right side
    513.60x = 305,335.17
  5. Step 5: Solve for x
    x = 305,335.17/513.60
  6. Step 6: Final answer
    x = 594.50

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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.