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Finding the Fourth Proportional to 391.94, 587.99 and 175.54

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Solution

The fourth proportional to 391.94, 587.99 and 175.54 is: 263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.94 : 587.99 = 175.54 : x
  2. Step 2: Convert to fraction form
    391.94/587.99 = 175.54/x
  3. Step 3: Cross multiply
    391.94x = 587.99 × 175.54
  4. Step 4: Simplify right side
    391.94x = 103,213.42
  5. Step 5: Solve for x
    x = 103,213.42/391.94
  6. Step 6: Final answer
    x = 263.34

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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.