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Finding the Fourth Proportional to 324.81, 487.53 and 264.67

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Solution

The fourth proportional to 324.81, 487.53 and 264.67 is: 397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 487.53 = 264.67 : x
  2. Step 2: Convert to fraction form
    324.81/487.53 = 264.67/x
  3. Step 3: Cross multiply
    324.81x = 487.53 × 264.67
  4. Step 4: Simplify right side
    324.81x = 129,033.35
  5. Step 5: Solve for x
    x = 129,033.35/324.81
  6. Step 6: Final answer
    x = 397.26

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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.