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Finding the Fourth Proportional to 403.36, 556.46 and 256.08

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Solution

The fourth proportional to 403.36, 556.46 and 256.08 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.36 : 556.46 = 256.08 : x
  2. Step 2: Convert to fraction form
    403.36/556.46 = 256.08/x
  3. Step 3: Cross multiply
    403.36x = 556.46 × 256.08
  4. Step 4: Simplify right side
    403.36x = 142,498.28
  5. Step 5: Solve for x
    x = 142,498.28/403.36
  6. Step 6: Final answer
    x = 353.28

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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.