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Finding the Fourth Proportional to 377.45, 566.38 and 204.11

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Solution

The fourth proportional to 377.45, 566.38 and 204.11 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.45 : 566.38 = 204.11 : x
  2. Step 2: Convert to fraction form
    377.45/566.38 = 204.11/x
  3. Step 3: Cross multiply
    377.45x = 566.38 × 204.11
  4. Step 4: Simplify right side
    377.45x = 115,603.82
  5. Step 5: Solve for x
    x = 115,603.82/377.45
  6. Step 6: Final answer
    x = 306.28

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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.