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Finding the Fourth Proportional to 608.48, 839.26 and 421.98

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Solution

The fourth proportional to 608.48, 839.26 and 421.98 is: 582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.48 : 839.26 = 421.98 : x
  2. Step 2: Convert to fraction form
    608.48/839.26 = 421.98/x
  3. Step 3: Cross multiply
    608.48x = 839.26 × 421.98
  4. Step 4: Simplify right side
    608.48x = 354,150.93
  5. Step 5: Solve for x
    x = 354,150.93/608.48
  6. Step 6: Final answer
    x = 582.03

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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.