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Finding the Fourth Proportional to 320.26, 479.71 and 183.24

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Solution

The fourth proportional to 320.26, 479.71 and 183.24 is: 274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.26 : 479.71 = 183.24 : x
  2. Step 2: Convert to fraction form
    320.26/479.71 = 183.24/x
  3. Step 3: Cross multiply
    320.26x = 479.71 × 183.24
  4. Step 4: Simplify right side
    320.26x = 87,902.06
  5. Step 5: Solve for x
    x = 87,902.06/320.26
  6. Step 6: Final answer
    x = 274.47

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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.