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Finding the Fourth Proportional to 422.50, 582.69 and 356.43

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Solution

The fourth proportional to 422.50, 582.69 and 356.43 is: 491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.50 : 582.69 = 356.43 : x
  2. Step 2: Convert to fraction form
    422.50/582.69 = 356.43/x
  3. Step 3: Cross multiply
    422.50x = 582.69 × 356.43
  4. Step 4: Simplify right side
    422.50x = 207,688.20
  5. Step 5: Solve for x
    x = 207,688.20/422.50
  6. Step 6: Final answer
    x = 491.57

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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.