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Finding the Fourth Proportional to 293.09, 438.65 and 201.29

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Solution

The fourth proportional to 293.09, 438.65 and 201.29 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 438.65 = 201.29 : x
  2. Step 2: Convert to fraction form
    293.09/438.65 = 201.29/x
  3. Step 3: Cross multiply
    293.09x = 438.65 × 201.29
  4. Step 4: Simplify right side
    293.09x = 88,293.41
  5. Step 5: Solve for x
    x = 88,293.41/293.09
  6. Step 6: Final answer
    x = 301.26

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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.