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Finding the Fourth Proportional to 1,476.36, 2,214.65 and 380.73

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Solution

The fourth proportional to 1,476.36, 2,214.65 and 380.73 is: 571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.36 : 2,214.65 = 380.73 : x
  2. Step 2: Convert to fraction form
    1,476.36/2,214.65 = 380.73/x
  3. Step 3: Cross multiply
    1,476.36x = 2,214.65 × 380.73
  4. Step 4: Simplify right side
    1,476.36x = 843,181.79
  5. Step 5: Solve for x
    x = 843,181.79/1,476.36
  6. Step 6: Final answer
    x = 571.12

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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.