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Finding the Fourth Proportional to 293.95, 441.06 and 289.09

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Solution

The fourth proportional to 293.95, 441.06 and 289.09 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 441.06 = 289.09 : x
  2. Step 2: Convert to fraction form
    293.95/441.06 = 289.09/x
  3. Step 3: Cross multiply
    293.95x = 441.06 × 289.09
  4. Step 4: Simplify right side
    293.95x = 127,506.04
  5. Step 5: Solve for x
    x = 127,506.04/293.95
  6. Step 6: Final answer
    x = 433.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.