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Finding the Fourth Proportional to 626.91, 865.44 and 406.03

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Solution

The fourth proportional to 626.91, 865.44 and 406.03 is: 560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.91 : 865.44 = 406.03 : x
  2. Step 2: Convert to fraction form
    626.91/865.44 = 406.03/x
  3. Step 3: Cross multiply
    626.91x = 865.44 × 406.03
  4. Step 4: Simplify right side
    626.91x = 351,394.60
  5. Step 5: Solve for x
    x = 351,394.60/626.91
  6. Step 6: Final answer
    x = 560.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.