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Finding the Fourth Proportional to 294.23, 440.73 and 239.55

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Solution

The fourth proportional to 294.23, 440.73 and 239.55 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.23 : 440.73 = 239.55 : x
  2. Step 2: Convert to fraction form
    294.23/440.73 = 239.55/x
  3. Step 3: Cross multiply
    294.23x = 440.73 × 239.55
  4. Step 4: Simplify right side
    294.23x = 105,576.87
  5. Step 5: Solve for x
    x = 105,576.87/294.23
  6. Step 6: Final answer
    x = 358.83

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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.