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Finding the Fourth Proportional to 513.05, 768.77 and 416.39

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Solution

The fourth proportional to 513.05, 768.77 and 416.39 is: 623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.05 : 768.77 = 416.39 : x
  2. Step 2: Convert to fraction form
    513.05/768.77 = 416.39/x
  3. Step 3: Cross multiply
    513.05x = 768.77 × 416.39
  4. Step 4: Simplify right side
    513.05x = 320,106.06
  5. Step 5: Solve for x
    x = 320,106.06/513.05
  6. Step 6: Final answer
    x = 623.93

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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.