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Finding the Fourth Proportional to 319.29, 479.07 and 189.24

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Solution

The fourth proportional to 319.29, 479.07 and 189.24 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.29 : 479.07 = 189.24 : x
  2. Step 2: Convert to fraction form
    319.29/479.07 = 189.24/x
  3. Step 3: Cross multiply
    319.29x = 479.07 × 189.24
  4. Step 4: Simplify right side
    319.29x = 90,659.21
  5. Step 5: Solve for x
    x = 90,659.21/319.29
  6. Step 6: Final answer
    x = 283.94

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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.