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Finding the Fourth Proportional to 422.72, 582.68 and 410.57

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Solution

The fourth proportional to 422.72, 582.68 and 410.57 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 582.68 = 410.57 : x
  2. Step 2: Convert to fraction form
    422.72/582.68 = 410.57/x
  3. Step 3: Cross multiply
    422.72x = 582.68 × 410.57
  4. Step 4: Simplify right side
    422.72x = 239,225.96
  5. Step 5: Solve for x
    x = 239,225.96/422.72
  6. Step 6: Final answer
    x = 565.93

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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.