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Finding the Fourth Proportional to 377.98, 566.19 and 280.58

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Solution

The fourth proportional to 377.98, 566.19 and 280.58 is: 420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.98 : 566.19 = 280.58 : x
  2. Step 2: Convert to fraction form
    377.98/566.19 = 280.58/x
  3. Step 3: Cross multiply
    377.98x = 566.19 × 280.58
  4. Step 4: Simplify right side
    377.98x = 158,858.76
  5. Step 5: Solve for x
    x = 158,858.76/377.98
  6. Step 6: Final answer
    x = 420.29

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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.