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Finding the Fourth Proportional to 399.37, 550.26 and 294.28

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Solution

The fourth proportional to 399.37, 550.26 and 294.28 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.37 : 550.26 = 294.28 : x
  2. Step 2: Convert to fraction form
    399.37/550.26 = 294.28/x
  3. Step 3: Cross multiply
    399.37x = 550.26 × 294.28
  4. Step 4: Simplify right side
    399.37x = 161,930.51
  5. Step 5: Solve for x
    x = 161,930.51/399.37
  6. Step 6: Final answer
    x = 405.46

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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.