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Finding the Fourth Proportional to 293.59, 406.19 and 288.41

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Solution

The fourth proportional to 293.59, 406.19 and 288.41 is: 399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.59 : 406.19 = 288.41 : x
  2. Step 2: Convert to fraction form
    293.59/406.19 = 288.41/x
  3. Step 3: Cross multiply
    293.59x = 406.19 × 288.41
  4. Step 4: Simplify right side
    293.59x = 117,147.82
  5. Step 5: Solve for x
    x = 117,147.82/293.59
  6. Step 6: Final answer
    x = 399.03

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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.