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Finding the Fourth Proportional to 422.34, 583.16 and 339.18

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Solution

The fourth proportional to 422.34, 583.16 and 339.18 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 583.16 = 339.18 : x
  2. Step 2: Convert to fraction form
    422.34/583.16 = 339.18/x
  3. Step 3: Cross multiply
    422.34x = 583.16 × 339.18
  4. Step 4: Simplify right side
    422.34x = 197,796.21
  5. Step 5: Solve for x
    x = 197,796.21/422.34
  6. Step 6: Final answer
    x = 468.33

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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.