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Finding the Fourth Proportional to 513.34, 768.79 and 410.70

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Solution

The fourth proportional to 513.34, 768.79 and 410.70 is: 615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.34 : 768.79 = 410.70 : x
  2. Step 2: Convert to fraction form
    513.34/768.79 = 410.70/x
  3. Step 3: Cross multiply
    513.34x = 768.79 × 410.70
  4. Step 4: Simplify right side
    513.34x = 315,742.05
  5. Step 5: Solve for x
    x = 315,742.05/513.34
  6. Step 6: Final answer
    x = 615.07

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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.