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Finding the Fourth Proportional to 379.95, 568.62 and 282.63

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Solution

The fourth proportional to 379.95, 568.62 and 282.63 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.95 : 568.62 = 282.63 : x
  2. Step 2: Convert to fraction form
    379.95/568.62 = 282.63/x
  3. Step 3: Cross multiply
    379.95x = 568.62 × 282.63
  4. Step 4: Simplify right side
    379.95x = 160,709.07
  5. Step 5: Solve for x
    x = 160,709.07/379.95
  6. Step 6: Final answer
    x = 422.97

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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.