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Finding the Fourth Proportional to 608.29, 839.65 and 422.03

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Solution

The fourth proportional to 608.29, 839.65 and 422.03 is: 582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.29 : 839.65 = 422.03 : x
  2. Step 2: Convert to fraction form
    608.29/839.65 = 422.03/x
  3. Step 3: Cross multiply
    608.29x = 839.65 × 422.03
  4. Step 4: Simplify right side
    608.29x = 354,354.60
  5. Step 5: Solve for x
    x = 354,354.60/608.29
  6. Step 6: Final answer
    x = 582.54

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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.