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Finding the Fourth Proportional to 293.04, 441.68 and 280.69

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Solution

The fourth proportional to 293.04, 441.68 and 280.69 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 441.68 = 280.69 : x
  2. Step 2: Convert to fraction form
    293.04/441.68 = 280.69/x
  3. Step 3: Cross multiply
    293.04x = 441.68 × 280.69
  4. Step 4: Simplify right side
    293.04x = 123,972.65
  5. Step 5: Solve for x
    x = 123,972.65/293.04
  6. Step 6: Final answer
    x = 423.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.