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Finding the Fourth Proportional to 610.31, 842.36 and 389.21

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Solution

The fourth proportional to 610.31, 842.36 and 389.21 is: 537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.31 : 842.36 = 389.21 : x
  2. Step 2: Convert to fraction form
    610.31/842.36 = 389.21/x
  3. Step 3: Cross multiply
    610.31x = 842.36 × 389.21
  4. Step 4: Simplify right side
    610.31x = 327,858.01
  5. Step 5: Solve for x
    x = 327,858.01/610.31
  6. Step 6: Final answer
    x = 537.20

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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.