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Finding the Fourth Proportional to 377.74, 566.25 and 233.38

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Solution

The fourth proportional to 377.74, 566.25 and 233.38 is: 349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.74 : 566.25 = 233.38 : x
  2. Step 2: Convert to fraction form
    377.74/566.25 = 233.38/x
  3. Step 3: Cross multiply
    377.74x = 566.25 × 233.38
  4. Step 4: Simplify right side
    377.74x = 132,151.43
  5. Step 5: Solve for x
    x = 132,151.43/377.74
  6. Step 6: Final answer
    x = 349.85

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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.