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Finding the Fourth Proportional to 324.38, 485.64 and 275.57

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Solution

The fourth proportional to 324.38, 485.64 and 275.57 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.38 : 485.64 = 275.57 : x
  2. Step 2: Convert to fraction form
    324.38/485.64 = 275.57/x
  3. Step 3: Cross multiply
    324.38x = 485.64 × 275.57
  4. Step 4: Simplify right side
    324.38x = 133,825.39
  5. Step 5: Solve for x
    x = 133,825.39/324.38
  6. Step 6: Final answer
    x = 412.56

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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.