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Finding the Fourth Proportional to 370.42, 511.20 and 204.65

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Solution

The fourth proportional to 370.42, 511.20 and 204.65 is: 282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 511.20 = 204.65 : x
  2. Step 2: Convert to fraction form
    370.42/511.20 = 204.65/x
  3. Step 3: Cross multiply
    370.42x = 511.20 × 204.65
  4. Step 4: Simplify right side
    370.42x = 104,616.44
  5. Step 5: Solve for x
    x = 104,616.44/370.42
  6. Step 6: Final answer
    x = 282.43

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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.