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Finding the Fourth Proportional to 288.56, 398.72 and 226.56

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Solution

The fourth proportional to 288.56, 398.72 and 226.56 is: 313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 398.72 = 226.56 : x
  2. Step 2: Convert to fraction form
    288.56/398.72 = 226.56/x
  3. Step 3: Cross multiply
    288.56x = 398.72 × 226.56
  4. Step 4: Simplify right side
    288.56x = 90,334.00
  5. Step 5: Solve for x
    x = 90,334.00/288.56
  6. Step 6: Final answer
    x = 313.05

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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.