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Finding the Fourth Proportional to 542.63, 812.05 and 443.99

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Solution

The fourth proportional to 542.63, 812.05 and 443.99 is: 664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 812.05 = 443.99 : x
  2. Step 2: Convert to fraction form
    542.63/812.05 = 443.99/x
  3. Step 3: Cross multiply
    542.63x = 812.05 × 443.99
  4. Step 4: Simplify right side
    542.63x = 360,542.08
  5. Step 5: Solve for x
    x = 360,542.08/542.63
  6. Step 6: Final answer
    x = 664.43

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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.