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Finding the Fourth Proportional to 422.65, 582.66 and 297.95

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Solution

The fourth proportional to 422.65, 582.66 and 297.95 is: 410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.65 : 582.66 = 297.95 : x
  2. Step 2: Convert to fraction form
    422.65/582.66 = 297.95/x
  3. Step 3: Cross multiply
    422.65x = 582.66 × 297.95
  4. Step 4: Simplify right side
    422.65x = 173,600.63
  5. Step 5: Solve for x
    x = 173,600.63/422.65
  6. Step 6: Final answer
    x = 410.74

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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.