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Finding the Fourth Proportional to 293.83, 407.36 and 277.43

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Solution

The fourth proportional to 293.83, 407.36 and 277.43 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.83 : 407.36 = 277.43 : x
  2. Step 2: Convert to fraction form
    293.83/407.36 = 277.43/x
  3. Step 3: Cross multiply
    293.83x = 407.36 × 277.43
  4. Step 4: Simplify right side
    293.83x = 113,012.54
  5. Step 5: Solve for x
    x = 113,012.54/293.83
  6. Step 6: Final answer
    x = 384.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.