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Finding the Fourth Proportional to 386.56, 580.56 and 340.30

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Solution

The fourth proportional to 386.56, 580.56 and 340.30 is: 511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.56 : 580.56 = 340.30 : x
  2. Step 2: Convert to fraction form
    386.56/580.56 = 340.30/x
  3. Step 3: Cross multiply
    386.56x = 580.56 × 340.30
  4. Step 4: Simplify right side
    386.56x = 197,564.57
  5. Step 5: Solve for x
    x = 197,564.57/386.56
  6. Step 6: Final answer
    x = 511.08

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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.