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Finding the Fourth Proportional to 383.68, 575.28 and 212.80

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Solution

The fourth proportional to 383.68, 575.28 and 212.80 is: 319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.68 : 575.28 = 212.80 : x
  2. Step 2: Convert to fraction form
    383.68/575.28 = 212.80/x
  3. Step 3: Cross multiply
    383.68x = 575.28 × 212.80
  4. Step 4: Simplify right side
    383.68x = 122,419.58
  5. Step 5: Solve for x
    x = 122,419.58/383.68
  6. Step 6: Final answer
    x = 319.07

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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.