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Finding the Fourth Proportional to 324.14, 483.41 and 275.69

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Solution

The fourth proportional to 324.14, 483.41 and 275.69 is: 411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 483.41 = 275.69 : x
  2. Step 2: Convert to fraction form
    324.14/483.41 = 275.69/x
  3. Step 3: Cross multiply
    324.14x = 483.41 × 275.69
  4. Step 4: Simplify right side
    324.14x = 133,273.20
  5. Step 5: Solve for x
    x = 133,273.20/324.14
  6. Step 6: Final answer
    x = 411.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.