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Finding the Fourth Proportional to 319.44, 479.36 and 264.48

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Solution

The fourth proportional to 319.44, 479.36 and 264.48 is: 396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.44 : 479.36 = 264.48 : x
  2. Step 2: Convert to fraction form
    319.44/479.36 = 264.48/x
  3. Step 3: Cross multiply
    319.44x = 479.36 × 264.48
  4. Step 4: Simplify right side
    319.44x = 126,781.13
  5. Step 5: Solve for x
    x = 126,781.13/319.44
  6. Step 6: Final answer
    x = 396.89

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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.