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Finding the Fourth Proportional to 608.41, 839.72 and 442.41

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Solution

The fourth proportional to 608.41, 839.72 and 442.41 is: 610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.41 : 839.72 = 442.41 : x
  2. Step 2: Convert to fraction form
    608.41/839.72 = 442.41/x
  3. Step 3: Cross multiply
    608.41x = 839.72 × 442.41
  4. Step 4: Simplify right side
    608.41x = 371,500.72
  5. Step 5: Solve for x
    x = 371,500.72/608.41
  6. Step 6: Final answer
    x = 610.61

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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.