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Finding the Fourth Proportional to 422.64, 585.72 and 410.22

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Solution

The fourth proportional to 422.64, 585.72 and 410.22 is: 568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 585.72 = 410.22 : x
  2. Step 2: Convert to fraction form
    422.64/585.72 = 410.22/x
  3. Step 3: Cross multiply
    422.64x = 585.72 × 410.22
  4. Step 4: Simplify right side
    422.64x = 240,274.06
  5. Step 5: Solve for x
    x = 240,274.06/422.64
  6. Step 6: Final answer
    x = 568.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.