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Finding the Fourth Proportional to 608.30, 838.97 and 409.34

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Solution

The fourth proportional to 608.30, 838.97 and 409.34 is: 564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.30 : 838.97 = 409.34 : x
  2. Step 2: Convert to fraction form
    608.30/838.97 = 409.34/x
  3. Step 3: Cross multiply
    608.30x = 838.97 × 409.34
  4. Step 4: Simplify right side
    608.30x = 343,420.81
  5. Step 5: Solve for x
    x = 343,420.81/608.30
  6. Step 6: Final answer
    x = 564.56

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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.