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Finding the Fourth Proportional to 422.90, 583.67 and 245.82

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Solution

The fourth proportional to 422.90, 583.67 and 245.82 is: 339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.90 : 583.67 = 245.82 : x
  2. Step 2: Convert to fraction form
    422.90/583.67 = 245.82/x
  3. Step 3: Cross multiply
    422.90x = 583.67 × 245.82
  4. Step 4: Simplify right side
    422.90x = 143,476.53
  5. Step 5: Solve for x
    x = 143,476.53/422.90
  6. Step 6: Final answer
    x = 339.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.