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Finding the Fourth Proportional to 288.35, 431.51 and 227.06

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Solution

The fourth proportional to 288.35, 431.51 and 227.06 is: 339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.35 : 431.51 = 227.06 : x
  2. Step 2: Convert to fraction form
    288.35/431.51 = 227.06/x
  3. Step 3: Cross multiply
    288.35x = 431.51 × 227.06
  4. Step 4: Simplify right side
    288.35x = 97,975.37
  5. Step 5: Solve for x
    x = 97,975.37/288.35
  6. Step 6: Final answer
    x = 339.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.