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Finding the Fourth Proportional to 423.33, 634.27 and 380.53

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Solution

The fourth proportional to 423.33, 634.27 and 380.53 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.33 : 634.27 = 380.53 : x
  2. Step 2: Convert to fraction form
    423.33/634.27 = 380.53/x
  3. Step 3: Cross multiply
    423.33x = 634.27 × 380.53
  4. Step 4: Simplify right side
    423.33x = 241,358.76
  5. Step 5: Solve for x
    x = 241,358.76/423.33
  6. Step 6: Final answer
    x = 570.14

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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.