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Finding the Fourth Proportional to 386.34, 579.54 and 112.46

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Solution

The fourth proportional to 386.34, 579.54 and 112.46 is: 168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.34 : 579.54 = 112.46 : x
  2. Step 2: Convert to fraction form
    386.34/579.54 = 112.46/x
  3. Step 3: Cross multiply
    386.34x = 579.54 × 112.46
  4. Step 4: Simplify right side
    386.34x = 65,175.07
  5. Step 5: Solve for x
    x = 65,175.07/386.34
  6. Step 6: Final answer
    x = 168.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.