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Finding the Fourth Proportional to 288.74, 398.24 and 233.40

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Solution

The fourth proportional to 288.74, 398.24 and 233.40 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.74 : 398.24 = 233.40 : x
  2. Step 2: Convert to fraction form
    288.74/398.24 = 233.40/x
  3. Step 3: Cross multiply
    288.74x = 398.24 × 233.40
  4. Step 4: Simplify right side
    288.74x = 92,949.22
  5. Step 5: Solve for x
    x = 92,949.22/288.74
  6. Step 6: Final answer
    x = 321.91

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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.