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Finding the Fourth Proportional to 628.29, 942.71 and 299.45

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Solution

The fourth proportional to 628.29, 942.71 and 299.45 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.29 : 942.71 = 299.45 : x
  2. Step 2: Convert to fraction form
    628.29/942.71 = 299.45/x
  3. Step 3: Cross multiply
    628.29x = 942.71 × 299.45
  4. Step 4: Simplify right side
    628.29x = 282,295.37
  5. Step 5: Solve for x
    x = 282,295.37/628.29
  6. Step 6: Final answer
    x = 449.31

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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.