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Finding the Fourth Proportional to 432.23, 647.73 and 324.09

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Solution

The fourth proportional to 432.23, 647.73 and 324.09 is: 485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.23 : 647.73 = 324.09 : x
  2. Step 2: Convert to fraction form
    432.23/647.73 = 324.09/x
  3. Step 3: Cross multiply
    432.23x = 647.73 × 324.09
  4. Step 4: Simplify right side
    432.23x = 209,922.82
  5. Step 5: Solve for x
    x = 209,922.82/432.23
  6. Step 6: Final answer
    x = 485.68

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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.