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Finding the Fourth Proportional to 403.21, 556.32 and 255.79

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Solution

The fourth proportional to 403.21, 556.32 and 255.79 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.21 : 556.32 = 255.79 : x
  2. Step 2: Convert to fraction form
    403.21/556.32 = 255.79/x
  3. Step 3: Cross multiply
    403.21x = 556.32 × 255.79
  4. Step 4: Simplify right side
    403.21x = 142,301.09
  5. Step 5: Solve for x
    x = 142,301.09/403.21
  6. Step 6: Final answer
    x = 352.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.