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Finding the Fourth Proportional to 338.24, 507.83 and 259.09

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Solution

The fourth proportional to 338.24, 507.83 and 259.09 is: 388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 507.83 = 259.09 : x
  2. Step 2: Convert to fraction form
    338.24/507.83 = 259.09/x
  3. Step 3: Cross multiply
    338.24x = 507.83 × 259.09
  4. Step 4: Simplify right side
    338.24x = 131,573.05
  5. Step 5: Solve for x
    x = 131,573.05/338.24
  6. Step 6: Final answer
    x = 388.99

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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.