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Finding the Fourth Proportional to 283.76, 422.14 and 270.80

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Solution

The fourth proportional to 283.76, 422.14 and 270.80 is: 402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.76 : 422.14 = 270.80 : x
  2. Step 2: Convert to fraction form
    283.76/422.14 = 270.80/x
  3. Step 3: Cross multiply
    283.76x = 422.14 × 270.80
  4. Step 4: Simplify right side
    283.76x = 114,315.51
  5. Step 5: Solve for x
    x = 114,315.51/283.76
  6. Step 6: Final answer
    x = 402.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.