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Finding the Fourth Proportional to 380.71, 570.54 and 213.79

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Solution

The fourth proportional to 380.71, 570.54 and 213.79 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.71 : 570.54 = 213.79 : x
  2. Step 2: Convert to fraction form
    380.71/570.54 = 213.79/x
  3. Step 3: Cross multiply
    380.71x = 570.54 × 213.79
  4. Step 4: Simplify right side
    380.71x = 121,975.29
  5. Step 5: Solve for x
    x = 121,975.29/380.71
  6. Step 6: Final answer
    x = 320.39

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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.