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Finding the Fourth Proportional to 386.74, 579.33 and 232.58

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Solution

The fourth proportional to 386.74, 579.33 and 232.58 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 579.33 = 232.58 : x
  2. Step 2: Convert to fraction form
    386.74/579.33 = 232.58/x
  3. Step 3: Cross multiply
    386.74x = 579.33 × 232.58
  4. Step 4: Simplify right side
    386.74x = 134,741.08
  5. Step 5: Solve for x
    x = 134,741.08/386.74
  6. Step 6: Final answer
    x = 348.40

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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.