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Finding the Fourth Proportional to 386.20, 580.02 and 384.52

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Solution

The fourth proportional to 386.20, 580.02 and 384.52 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 580.02 = 384.52 : x
  2. Step 2: Convert to fraction form
    386.20/580.02 = 384.52/x
  3. Step 3: Cross multiply
    386.20x = 580.02 × 384.52
  4. Step 4: Simplify right side
    386.20x = 223,029.29
  5. Step 5: Solve for x
    x = 223,029.29/386.20
  6. Step 6: Final answer
    x = 577.50

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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.