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Finding the Fourth Proportional to 422.54, 582.51 and 297.82

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Solution

The fourth proportional to 422.54, 582.51 and 297.82 is: 410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.54 : 582.51 = 297.82 : x
  2. Step 2: Convert to fraction form
    422.54/582.51 = 297.82/x
  3. Step 3: Cross multiply
    422.54x = 582.51 × 297.82
  4. Step 4: Simplify right side
    422.54x = 173,483.13
  5. Step 5: Solve for x
    x = 173,483.13/422.54
  6. Step 6: Final answer
    x = 410.57

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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.