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Finding the Fourth Proportional to 422.90, 583.16 and 290.32

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Solution

The fourth proportional to 422.90, 583.16 and 290.32 is: 400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.90 : 583.16 = 290.32 : x
  2. Step 2: Convert to fraction form
    422.90/583.16 = 290.32/x
  3. Step 3: Cross multiply
    422.90x = 583.16 × 290.32
  4. Step 4: Simplify right side
    422.90x = 169,298.64
  5. Step 5: Solve for x
    x = 169,298.64/422.90
  6. Step 6: Final answer
    x = 400.33

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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.