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Finding the Fourth Proportional to 386.79, 580.32 and 204.06

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Solution

The fourth proportional to 386.79, 580.32 and 204.06 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.79 : 580.32 = 204.06 : x
  2. Step 2: Convert to fraction form
    386.79/580.32 = 204.06/x
  3. Step 3: Cross multiply
    386.79x = 580.32 × 204.06
  4. Step 4: Simplify right side
    386.79x = 118,420.10
  5. Step 5: Solve for x
    x = 118,420.10/386.79
  6. Step 6: Final answer
    x = 306.16

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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.