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Finding the Fourth Proportional to 290.82, 433.58 and 283.34

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Solution

The fourth proportional to 290.82, 433.58 and 283.34 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.82 : 433.58 = 283.34 : x
  2. Step 2: Convert to fraction form
    290.82/433.58 = 283.34/x
  3. Step 3: Cross multiply
    290.82x = 433.58 × 283.34
  4. Step 4: Simplify right side
    290.82x = 122,850.56
  5. Step 5: Solve for x
    x = 122,850.56/290.82
  6. Step 6: Final answer
    x = 422.43

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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.