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Finding the Fourth Proportional to 377.82, 568.04 and 367.45

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Solution

The fourth proportional to 377.82, 568.04 and 367.45 is: 552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 568.04 = 367.45 : x
  2. Step 2: Convert to fraction form
    377.82/568.04 = 367.45/x
  3. Step 3: Cross multiply
    377.82x = 568.04 × 367.45
  4. Step 4: Simplify right side
    377.82x = 208,723.04
  5. Step 5: Solve for x
    x = 208,723.04/377.82
  6. Step 6: Final answer
    x = 552.44

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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.