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Finding the Fourth Proportional to 814.23, 1,220.31 and 403.86

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Solution

The fourth proportional to 814.23, 1,220.31 and 403.86 is: 605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.23 : 1,220.31 = 403.86 : x
  2. Step 2: Convert to fraction form
    814.23/1,220.31 = 403.86/x
  3. Step 3: Cross multiply
    814.23x = 1,220.31 × 403.86
  4. Step 4: Simplify right side
    814.23x = 492,834.40
  5. Step 5: Solve for x
    x = 492,834.40/814.23
  6. Step 6: Final answer
    x = 605.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.