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Finding the Fourth Proportional to 403.29, 556.49 and 226.26

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Solution

The fourth proportional to 403.29, 556.49 and 226.26 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.29 : 556.49 = 226.26 : x
  2. Step 2: Convert to fraction form
    403.29/556.49 = 226.26/x
  3. Step 3: Cross multiply
    403.29x = 556.49 × 226.26
  4. Step 4: Simplify right side
    403.29x = 125,907.51
  5. Step 5: Solve for x
    x = 125,907.51/403.29
  6. Step 6: Final answer
    x = 312.20

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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.