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Finding the Fourth Proportional to 399.03, 550.85 and 294.13

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Solution

The fourth proportional to 399.03, 550.85 and 294.13 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.03 : 550.85 = 294.13 : x
  2. Step 2: Convert to fraction form
    399.03/550.85 = 294.13/x
  3. Step 3: Cross multiply
    399.03x = 550.85 × 294.13
  4. Step 4: Simplify right side
    399.03x = 162,021.51
  5. Step 5: Solve for x
    x = 162,021.51/399.03
  6. Step 6: Final answer
    x = 406.04

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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.