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Finding the Fourth Proportional to 608.16, 838.94 and 411.66

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Solution

The fourth proportional to 608.16, 838.94 and 411.66 is: 567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 838.94 = 411.66 : x
  2. Step 2: Convert to fraction form
    608.16/838.94 = 411.66/x
  3. Step 3: Cross multiply
    608.16x = 838.94 × 411.66
  4. Step 4: Simplify right side
    608.16x = 345,358.04
  5. Step 5: Solve for x
    x = 345,358.04/608.16
  6. Step 6: Final answer
    x = 567.87

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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.