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Finding the Fourth Proportional to 370.39, 511.12 and 204.62

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Solution

The fourth proportional to 370.39, 511.12 and 204.62 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.39 : 511.12 = 204.62 : x
  2. Step 2: Convert to fraction form
    370.39/511.12 = 204.62/x
  3. Step 3: Cross multiply
    370.39x = 511.12 × 204.62
  4. Step 4: Simplify right side
    370.39x = 104,585.37
  5. Step 5: Solve for x
    x = 104,585.37/370.39
  6. Step 6: Final answer
    x = 282.37

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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.