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Finding the Fourth Proportional to 377.82, 566.24 and 286.24

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Solution

The fourth proportional to 377.82, 566.24 and 286.24 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 566.24 = 286.24 : x
  2. Step 2: Convert to fraction form
    377.82/566.24 = 286.24/x
  3. Step 3: Cross multiply
    377.82x = 566.24 × 286.24
  4. Step 4: Simplify right side
    377.82x = 162,080.54
  5. Step 5: Solve for x
    x = 162,080.54/377.82
  6. Step 6: Final answer
    x = 428.99

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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.