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Finding the Fourth Proportional to 628.70, 943.24 and 282.26

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Solution

The fourth proportional to 628.70, 943.24 and 282.26 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.70 : 943.24 = 282.26 : x
  2. Step 2: Convert to fraction form
    628.70/943.24 = 282.26/x
  3. Step 3: Cross multiply
    628.70x = 943.24 × 282.26
  4. Step 4: Simplify right side
    628.70x = 266,238.92
  5. Step 5: Solve for x
    x = 266,238.92/628.70
  6. Step 6: Final answer
    x = 423.48

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