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Finding the Fourth Proportional to 513.83, 771.55 and 406.10

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Solution

The fourth proportional to 513.83, 771.55 and 406.10 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.83 : 771.55 = 406.10 : x
  2. Step 2: Convert to fraction form
    513.83/771.55 = 406.10/x
  3. Step 3: Cross multiply
    513.83x = 771.55 × 406.10
  4. Step 4: Simplify right side
    513.83x = 313,326.46
  5. Step 5: Solve for x
    x = 313,326.46/513.83
  6. Step 6: Final answer
    x = 609.79

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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.