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Finding the Fourth Proportional to 370.82, 511.55 and 300.74

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Solution

The fourth proportional to 370.82, 511.55 and 300.74 is: 414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.82 : 511.55 = 300.74 : x
  2. Step 2: Convert to fraction form
    370.82/511.55 = 300.74/x
  3. Step 3: Cross multiply
    370.82x = 511.55 × 300.74
  4. Step 4: Simplify right side
    370.82x = 153,843.55
  5. Step 5: Solve for x
    x = 153,843.55/370.82
  6. Step 6: Final answer
    x = 414.87

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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.