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Finding the Fourth Proportional to 288.04, 431.71 and 211.33

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Solution

The fourth proportional to 288.04, 431.71 and 211.33 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.04 : 431.71 = 211.33 : x
  2. Step 2: Convert to fraction form
    288.04/431.71 = 211.33/x
  3. Step 3: Cross multiply
    288.04x = 431.71 × 211.33
  4. Step 4: Simplify right side
    288.04x = 91,233.27
  5. Step 5: Solve for x
    x = 91,233.27/288.04
  6. Step 6: Final answer
    x = 316.74

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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.