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Finding the Fourth Proportional to 293.90, 441.45 and 277.56

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Solution

The fourth proportional to 293.90, 441.45 and 277.56 is: 416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 441.45 = 277.56 : x
  2. Step 2: Convert to fraction form
    293.90/441.45 = 277.56/x
  3. Step 3: Cross multiply
    293.90x = 441.45 × 277.56
  4. Step 4: Simplify right side
    293.90x = 122,528.86
  5. Step 5: Solve for x
    x = 122,528.86/293.90
  6. Step 6: Final answer
    x = 416.91

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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.