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Finding the Fourth Proportional to 399.35, 550.94 and 233.48

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Solution

The fourth proportional to 399.35, 550.94 and 233.48 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 550.94 = 233.48 : x
  2. Step 2: Convert to fraction form
    399.35/550.94 = 233.48/x
  3. Step 3: Cross multiply
    399.35x = 550.94 × 233.48
  4. Step 4: Simplify right side
    399.35x = 128,633.68
  5. Step 5: Solve for x
    x = 128,633.68/399.35
  6. Step 6: Final answer
    x = 322.11

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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.