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Finding the Fourth Proportional to 965.47, 1,448.43 and 316.21

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Solution

The fourth proportional to 965.47, 1,448.43 and 316.21 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.47 : 1,448.43 = 316.21 : x
  2. Step 2: Convert to fraction form
    965.47/1,448.43 = 316.21/x
  3. Step 3: Cross multiply
    965.47x = 1,448.43 × 316.21
  4. Step 4: Simplify right side
    965.47x = 458,008.05
  5. Step 5: Solve for x
    x = 458,008.05/965.47
  6. Step 6: Final answer
    x = 474.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.