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Finding the Fourth Proportional to 399.21, 550.76 and 294.55

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Solution

The fourth proportional to 399.21, 550.76 and 294.55 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.21 : 550.76 = 294.55 : x
  2. Step 2: Convert to fraction form
    399.21/550.76 = 294.55/x
  3. Step 3: Cross multiply
    399.21x = 550.76 × 294.55
  4. Step 4: Simplify right side
    399.21x = 162,223.51
  5. Step 5: Solve for x
    x = 162,223.51/399.21
  6. Step 6: Final answer
    x = 406.37

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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.