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Finding the Fourth Proportional to 377.77, 566.74 and 204.59

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Solution

The fourth proportional to 377.77, 566.74 and 204.59 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.77 : 566.74 = 204.59 : x
  2. Step 2: Convert to fraction form
    377.77/566.74 = 204.59/x
  3. Step 3: Cross multiply
    377.77x = 566.74 × 204.59
  4. Step 4: Simplify right side
    377.77x = 115,952.06
  5. Step 5: Solve for x
    x = 115,952.06/377.77
  6. Step 6: Final answer
    x = 306.94

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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.