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Finding the Fourth Proportional to 319.92, 480.09 and 175.74

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Solution

The fourth proportional to 319.92, 480.09 and 175.74 is: 263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.92 : 480.09 = 175.74 : x
  2. Step 2: Convert to fraction form
    319.92/480.09 = 175.74/x
  3. Step 3: Cross multiply
    319.92x = 480.09 × 175.74
  4. Step 4: Simplify right side
    319.92x = 84,371.02
  5. Step 5: Solve for x
    x = 84,371.02/319.92
  6. Step 6: Final answer
    x = 263.73

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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.