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Finding the Fourth Proportional to 324.11, 483.79 and 281.07

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Solution

The fourth proportional to 324.11, 483.79 and 281.07 is: 419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.11 : 483.79 = 281.07 : x
  2. Step 2: Convert to fraction form
    324.11/483.79 = 281.07/x
  3. Step 3: Cross multiply
    324.11x = 483.79 × 281.07
  4. Step 4: Simplify right side
    324.11x = 135,981.02
  5. Step 5: Solve for x
    x = 135,981.02/324.11
  6. Step 6: Final answer
    x = 419.56

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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.