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Finding the Fourth Proportional to 324.81, 487.41 and 300.01

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Solution

The fourth proportional to 324.81, 487.41 and 300.01 is: 450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 487.41 = 300.01 : x
  2. Step 2: Convert to fraction form
    324.81/487.41 = 300.01/x
  3. Step 3: Cross multiply
    324.81x = 487.41 × 300.01
  4. Step 4: Simplify right side
    324.81x = 146,227.87
  5. Step 5: Solve for x
    x = 146,227.87/324.81
  6. Step 6: Final answer
    x = 450.20

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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.