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Finding the Fourth Proportional to 408.84, 616.82 and 388.60

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Solution

The fourth proportional to 408.84, 616.82 and 388.60 is: 586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.84 : 616.82 = 388.60 : x
  2. Step 2: Convert to fraction form
    408.84/616.82 = 388.60/x
  3. Step 3: Cross multiply
    408.84x = 616.82 × 388.60
  4. Step 4: Simplify right side
    408.84x = 239,696.25
  5. Step 5: Solve for x
    x = 239,696.25/408.84
  6. Step 6: Final answer
    x = 586.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.