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Finding the Fourth Proportional to 965.69, 1,448.21 and 316.28

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Solution

The fourth proportional to 965.69, 1,448.21 and 316.28 is: 474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.69 : 1,448.21 = 316.28 : x
  2. Step 2: Convert to fraction form
    965.69/1,448.21 = 316.28/x
  3. Step 3: Cross multiply
    965.69x = 1,448.21 × 316.28
  4. Step 4: Simplify right side
    965.69x = 458,033.41
  5. Step 5: Solve for x
    x = 458,033.41/965.69
  6. Step 6: Final answer
    x = 474.31

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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.