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Finding the Fourth Proportional to 386.89, 580.35 and 113.00

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Solution

The fourth proportional to 386.89, 580.35 and 113.00 is: 169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.89 : 580.35 = 113.00 : x
  2. Step 2: Convert to fraction form
    386.89/580.35 = 113.00/x
  3. Step 3: Cross multiply
    386.89x = 580.35 × 113.00
  4. Step 4: Simplify right side
    386.89x = 65,576.08
  5. Step 5: Solve for x
    x = 65,576.08/386.89
  6. Step 6: Final answer
    x = 169.50

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Why These Related Problems?

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