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Finding the Fourth Proportional to 294.62, 405.65 and 250.27

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Solution

The fourth proportional to 294.62, 405.65 and 250.27 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.62 : 405.65 = 250.27 : x
  2. Step 2: Convert to fraction form
    294.62/405.65 = 250.27/x
  3. Step 3: Cross multiply
    294.62x = 405.65 × 250.27
  4. Step 4: Simplify right side
    294.62x = 101,521.64
  5. Step 5: Solve for x
    x = 101,521.64/294.62
  6. Step 6: Final answer
    x = 344.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.