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Finding the Fourth Proportional to 467.37, 701.05 and 235.94

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Solution

The fourth proportional to 467.37, 701.05 and 235.94 is: 353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.37 : 701.05 = 235.94 : x
  2. Step 2: Convert to fraction form
    467.37/701.05 = 235.94/x
  3. Step 3: Cross multiply
    467.37x = 701.05 × 235.94
  4. Step 4: Simplify right side
    467.37x = 165,404.26
  5. Step 5: Solve for x
    x = 165,404.26/467.37
  6. Step 6: Final answer
    x = 353.91

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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.