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Finding the Fourth Proportional to 1,476.32, 2,214.56 and 380.69

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Solution

The fourth proportional to 1,476.32, 2,214.56 and 380.69 is: 571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.32 : 2,214.56 = 380.69 : x
  2. Step 2: Convert to fraction form
    1,476.32/2,214.56 = 380.69/x
  3. Step 3: Cross multiply
    1,476.32x = 2,214.56 × 380.69
  4. Step 4: Simplify right side
    1,476.32x = 843,060.85
  5. Step 5: Solve for x
    x = 843,060.85/1,476.32
  6. Step 6: Final answer
    x = 571.06

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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.