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Finding the Fourth Proportional to 965.84, 1,448.15 and 316.42

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Solution

The fourth proportional to 965.84, 1,448.15 and 316.42 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.84 : 1,448.15 = 316.42 : x
  2. Step 2: Convert to fraction form
    965.84/1,448.15 = 316.42/x
  3. Step 3: Cross multiply
    965.84x = 1,448.15 × 316.42
  4. Step 4: Simplify right side
    965.84x = 458,218.42
  5. Step 5: Solve for x
    x = 458,218.42/965.84
  6. Step 6: Final answer
    x = 474.43

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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.