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Finding the Fourth Proportional to 608.60, 839.34 and 409.46

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Solution

The fourth proportional to 608.60, 839.34 and 409.46 is: 564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.60 : 839.34 = 409.46 : x
  2. Step 2: Convert to fraction form
    608.60/839.34 = 409.46/x
  3. Step 3: Cross multiply
    608.60x = 839.34 × 409.46
  4. Step 4: Simplify right side
    608.60x = 343,676.16
  5. Step 5: Solve for x
    x = 343,676.16/608.60
  6. Step 6: Final answer
    x = 564.70

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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.