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Finding the Fourth Proportional to 283.80, 422.82 and 270

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Solution

The fourth proportional to 283.80, 422.82 and 270 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.80 : 422.82 = 270 : x
  2. Step 2: Convert to fraction form
    283.80/422.82 = 270/x
  3. Step 3: Cross multiply
    283.80x = 422.82 × 270
  4. Step 4: Simplify right side
    283.80x = 114,161.40
  5. Step 5: Solve for x
    x = 114,161.40/283.80
  6. Step 6: Final answer
    x = 402.26

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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.