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Finding the Fourth Proportional to 965.13, 1,447.29 and 380.04

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Solution

The fourth proportional to 965.13, 1,447.29 and 380.04 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.13 : 1,447.29 = 380.04 : x
  2. Step 2: Convert to fraction form
    965.13/1,447.29 = 380.04/x
  3. Step 3: Cross multiply
    965.13x = 1,447.29 × 380.04
  4. Step 4: Simplify right side
    965.13x = 550,028.09
  5. Step 5: Solve for x
    x = 550,028.09/965.13
  6. Step 6: Final answer
    x = 569.90

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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.