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Finding the Fourth Proportional to 608.23, 838.78 and 409.51

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Solution

The fourth proportional to 608.23, 838.78 and 409.51 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.23 : 838.78 = 409.51 : x
  2. Step 2: Convert to fraction form
    608.23/838.78 = 409.51/x
  3. Step 3: Cross multiply
    608.23x = 838.78 × 409.51
  4. Step 4: Simplify right side
    608.23x = 343,488.80
  5. Step 5: Solve for x
    x = 343,488.80/608.23
  6. Step 6: Final answer
    x = 564.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.