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Finding the Fourth Proportional to 412.68, 568.18 and 384.73

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Solution

The fourth proportional to 412.68, 568.18 and 384.73 is: 529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 568.18 = 384.73 : x
  2. Step 2: Convert to fraction form
    412.68/568.18 = 384.73/x
  3. Step 3: Cross multiply
    412.68x = 568.18 × 384.73
  4. Step 4: Simplify right side
    412.68x = 218,598.15
  5. Step 5: Solve for x
    x = 218,598.15/412.68
  6. Step 6: Final answer
    x = 529.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.