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Finding the Fourth Proportional to 294.37, 405.09 and 237.87

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Solution

The fourth proportional to 294.37, 405.09 and 237.87 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.37 : 405.09 = 237.87 : x
  2. Step 2: Convert to fraction form
    294.37/405.09 = 237.87/x
  3. Step 3: Cross multiply
    294.37x = 405.09 × 237.87
  4. Step 4: Simplify right side
    294.37x = 96,358.76
  5. Step 5: Solve for x
    x = 96,358.76/294.37
  6. Step 6: Final answer
    x = 327.34

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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.