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Finding the Fourth Proportional to 403.17, 556.16 and 255.75

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Solution

The fourth proportional to 403.17, 556.16 and 255.75 is: 352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.17 : 556.16 = 255.75 : x
  2. Step 2: Convert to fraction form
    403.17/556.16 = 255.75/x
  3. Step 3: Cross multiply
    403.17x = 556.16 × 255.75
  4. Step 4: Simplify right side
    403.17x = 142,236.64
  5. Step 5: Solve for x
    x = 142,236.64/403.17
  6. Step 6: Final answer
    x = 352.80

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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.