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Finding the Fourth Proportional to 377.67, 563.98 and 295.59

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Solution

The fourth proportional to 377.67, 563.98 and 295.59 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.67 : 563.98 = 295.59 : x
  2. Step 2: Convert to fraction form
    377.67/563.98 = 295.59/x
  3. Step 3: Cross multiply
    377.67x = 563.98 × 295.59
  4. Step 4: Simplify right side
    377.67x = 166,706.85
  5. Step 5: Solve for x
    x = 166,706.85/377.67
  6. Step 6: Final answer
    x = 441.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.