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Finding the Fourth Proportional to 399.24, 550.83 and 259.35

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Solution

The fourth proportional to 399.24, 550.83 and 259.35 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.24 : 550.83 = 259.35 : x
  2. Step 2: Convert to fraction form
    399.24/550.83 = 259.35/x
  3. Step 3: Cross multiply
    399.24x = 550.83 × 259.35
  4. Step 4: Simplify right side
    399.24x = 142,859.14
  5. Step 5: Solve for x
    x = 142,859.14/399.24
  6. Step 6: Final answer
    x = 357.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.