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Finding the Fourth Proportional to 370.60, 511.41 and 204.80

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Solution

The fourth proportional to 370.60, 511.41 and 204.80 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.60 : 511.41 = 204.80 : x
  2. Step 2: Convert to fraction form
    370.60/511.41 = 204.80/x
  3. Step 3: Cross multiply
    370.60x = 511.41 × 204.80
  4. Step 4: Simplify right side
    370.60x = 104,739.23
  5. Step 5: Solve for x
    x = 104,739.23/370.60
  6. Step 6: Final answer
    x = 282.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.