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Finding the Fourth Proportional to 403.64, 556.74 and 256.31

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Solution

The fourth proportional to 403.64, 556.74 and 256.31 is: 353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.64 : 556.74 = 256.31 : x
  2. Step 2: Convert to fraction form
    403.64/556.74 = 256.31/x
  3. Step 3: Cross multiply
    403.64x = 556.74 × 256.31
  4. Step 4: Simplify right side
    403.64x = 142,698.03
  5. Step 5: Solve for x
    x = 142,698.03/403.64
  6. Step 6: Final answer
    x = 353.53

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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.