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Finding the Fourth Proportional to 296.31, 444.83 and 215.31

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Solution

The fourth proportional to 296.31, 444.83 and 215.31 is: 323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.31 : 444.83 = 215.31 : x
  2. Step 2: Convert to fraction form
    296.31/444.83 = 215.31/x
  3. Step 3: Cross multiply
    296.31x = 444.83 × 215.31
  4. Step 4: Simplify right side
    296.31x = 95,775.27
  5. Step 5: Solve for x
    x = 95,775.27/296.31
  6. Step 6: Final answer
    x = 323.23

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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.