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Finding the Fourth Proportional to 608.61, 839.60 and 442.75

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Solution

The fourth proportional to 608.61, 839.60 and 442.75 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.61 : 839.60 = 442.75 : x
  2. Step 2: Convert to fraction form
    608.61/839.60 = 442.75/x
  3. Step 3: Cross multiply
    608.61x = 839.60 × 442.75
  4. Step 4: Simplify right side
    608.61x = 371,730.69
  5. Step 5: Solve for x
    x = 371,730.69/608.61
  6. Step 6: Final answer
    x = 610.79

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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.