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Finding the Fourth Proportional to 384.17, 576.32 and 201.51

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Solution

The fourth proportional to 384.17, 576.32 and 201.51 is: 302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.17 : 576.32 = 201.51 : x
  2. Step 2: Convert to fraction form
    384.17/576.32 = 201.51/x
  3. Step 3: Cross multiply
    384.17x = 576.32 × 201.51
  4. Step 4: Simplify right side
    384.17x = 116,133.24
  5. Step 5: Solve for x
    x = 116,133.24/384.17
  6. Step 6: Final answer
    x = 302.30

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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.