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Finding the Fourth Proportional to 403.39, 556.77 and 256.00

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Solution

The fourth proportional to 403.39, 556.77 and 256.00 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.39 : 556.77 = 256.00 : x
  2. Step 2: Convert to fraction form
    403.39/556.77 = 256.00/x
  3. Step 3: Cross multiply
    403.39x = 556.77 × 256.00
  4. Step 4: Simplify right side
    403.39x = 142,531.73
  5. Step 5: Solve for x
    x = 142,531.73/403.39
  6. Step 6: Final answer
    x = 353.33

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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.