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Finding the Fourth Proportional to 377.26, 519.82 and 278.84

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Solution

The fourth proportional to 377.26, 519.82 and 278.84 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.26 : 519.82 = 278.84 : x
  2. Step 2: Convert to fraction form
    377.26/519.82 = 278.84/x
  3. Step 3: Cross multiply
    377.26x = 519.82 × 278.84
  4. Step 4: Simplify right side
    377.26x = 144,947.21
  5. Step 5: Solve for x
    x = 144,947.21/377.26
  6. Step 6: Final answer
    x = 384.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.