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Finding the Fourth Proportional to 380.19, 571.56 and 312.22

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Solution

The fourth proportional to 380.19, 571.56 and 312.22 is: 469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 571.56 = 312.22 : x
  2. Step 2: Convert to fraction form
    380.19/571.56 = 312.22/x
  3. Step 3: Cross multiply
    380.19x = 571.56 × 312.22
  4. Step 4: Simplify right side
    380.19x = 178,452.01
  5. Step 5: Solve for x
    x = 178,452.01/380.19
  6. Step 6: Final answer
    x = 469.37

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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.