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Finding the Fourth Proportional to 626.37, 864.96 and 405.70

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Solution

The fourth proportional to 626.37, 864.96 and 405.70 is: 560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.37 : 864.96 = 405.70 : x
  2. Step 2: Convert to fraction form
    626.37/864.96 = 405.70/x
  3. Step 3: Cross multiply
    626.37x = 864.96 × 405.70
  4. Step 4: Simplify right side
    626.37x = 350,914.27
  5. Step 5: Solve for x
    x = 350,914.27/626.37
  6. Step 6: Final answer
    x = 560.23

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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.