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Finding the Fourth Proportional to 384.68, 576.84 and 168.32

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Solution

The fourth proportional to 384.68, 576.84 and 168.32 is: 252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 576.84 = 168.32 : x
  2. Step 2: Convert to fraction form
    384.68/576.84 = 168.32/x
  3. Step 3: Cross multiply
    384.68x = 576.84 × 168.32
  4. Step 4: Simplify right side
    384.68x = 97,093.71
  5. Step 5: Solve for x
    x = 97,093.71/384.68
  6. Step 6: Final answer
    x = 252.40

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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.