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Finding the Fourth Proportional to 386.74, 580.13 and 287.11

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Solution

The fourth proportional to 386.74, 580.13 and 287.11 is: 430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 580.13 = 287.11 : x
  2. Step 2: Convert to fraction form
    386.74/580.13 = 287.11/x
  3. Step 3: Cross multiply
    386.74x = 580.13 × 287.11
  4. Step 4: Simplify right side
    386.74x = 166,561.49
  5. Step 5: Solve for x
    x = 166,561.49/386.74
  6. Step 6: Final answer
    x = 430.68

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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.