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Finding the Fourth Proportional to 403.33, 556.57 and 226.31

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Solution

The fourth proportional to 403.33, 556.57 and 226.31 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.33 : 556.57 = 226.31 : x
  2. Step 2: Convert to fraction form
    403.33/556.57 = 226.31/x
  3. Step 3: Cross multiply
    403.33x = 556.57 × 226.31
  4. Step 4: Simplify right side
    403.33x = 125,957.36
  5. Step 5: Solve for x
    x = 125,957.36/403.33
  6. Step 6: Final answer
    x = 312.29

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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.