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Finding the Fourth Proportional to 589.22, 812.99 and 353.12

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Solution

The fourth proportional to 589.22, 812.99 and 353.12 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 812.99 = 353.12 : x
  2. Step 2: Convert to fraction form
    589.22/812.99 = 353.12/x
  3. Step 3: Cross multiply
    589.22x = 812.99 × 353.12
  4. Step 4: Simplify right side
    589.22x = 287,083.30
  5. Step 5: Solve for x
    x = 287,083.30/589.22
  6. Step 6: Final answer
    x = 487.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.