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Finding the Fourth Proportional to 388.22, 585.31 and 361.79

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Solution

The fourth proportional to 388.22, 585.31 and 361.79 is: 545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.22 : 585.31 = 361.79 : x
  2. Step 2: Convert to fraction form
    388.22/585.31 = 361.79/x
  3. Step 3: Cross multiply
    388.22x = 585.31 × 361.79
  4. Step 4: Simplify right side
    388.22x = 211,754.57
  5. Step 5: Solve for x
    x = 211,754.57/388.22
  6. Step 6: Final answer
    x = 545.45

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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.