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Finding the Fourth Proportional to 441.42, 661.56 and 380.14

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Solution

The fourth proportional to 441.42, 661.56 and 380.14 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.42 : 661.56 = 380.14 : x
  2. Step 2: Convert to fraction form
    441.42/661.56 = 380.14/x
  3. Step 3: Cross multiply
    441.42x = 661.56 × 380.14
  4. Step 4: Simplify right side
    441.42x = 251,485.42
  5. Step 5: Solve for x
    x = 251,485.42/441.42
  6. Step 6: Final answer
    x = 569.72

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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.