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Finding the Fourth Proportional to 288.48, 397.63 and 229.37

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Solution

The fourth proportional to 288.48, 397.63 and 229.37 is: 316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.48 : 397.63 = 229.37 : x
  2. Step 2: Convert to fraction form
    288.48/397.63 = 229.37/x
  3. Step 3: Cross multiply
    288.48x = 397.63 × 229.37
  4. Step 4: Simplify right side
    288.48x = 91,201.40
  5. Step 5: Solve for x
    x = 91,201.40/288.48
  6. Step 6: Final answer
    x = 316.15

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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.