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Finding the Fourth Proportional to 399.34, 550.99 and 233.54

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Solution

The fourth proportional to 399.34, 550.99 and 233.54 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.34 : 550.99 = 233.54 : x
  2. Step 2: Convert to fraction form
    399.34/550.99 = 233.54/x
  3. Step 3: Cross multiply
    399.34x = 550.99 × 233.54
  4. Step 4: Simplify right side
    399.34x = 128,678.20
  5. Step 5: Solve for x
    x = 128,678.20/399.34
  6. Step 6: Final answer
    x = 322.23

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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.