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Finding the Fourth Proportional to 387.41, 580.58 and 213.81

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Solution

The fourth proportional to 387.41, 580.58 and 213.81 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.41 : 580.58 = 213.81 : x
  2. Step 2: Convert to fraction form
    387.41/580.58 = 213.81/x
  3. Step 3: Cross multiply
    387.41x = 580.58 × 213.81
  4. Step 4: Simplify right side
    387.41x = 124,133.81
  5. Step 5: Solve for x
    x = 124,133.81/387.41
  6. Step 6: Final answer
    x = 320.42

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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.