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Finding the Fourth Proportional to 283.63, 422.71 and 281.23

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Solution

The fourth proportional to 283.63, 422.71 and 281.23 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.63 : 422.71 = 281.23 : x
  2. Step 2: Convert to fraction form
    283.63/422.71 = 281.23/x
  3. Step 3: Cross multiply
    283.63x = 422.71 × 281.23
  4. Step 4: Simplify right side
    283.63x = 118,879.55
  5. Step 5: Solve for x
    x = 118,879.55/283.63
  6. Step 6: Final answer
    x = 419.14

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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.