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Finding the Fourth Proportional to 384.56, 576.32 and 201.58

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Solution

The fourth proportional to 384.56, 576.32 and 201.58 is: 302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 576.32 = 201.58 : x
  2. Step 2: Convert to fraction form
    384.56/576.32 = 201.58/x
  3. Step 3: Cross multiply
    384.56x = 576.32 × 201.58
  4. Step 4: Simplify right side
    384.56x = 116,174.59
  5. Step 5: Solve for x
    x = 116,174.59/384.56
  6. Step 6: Final answer
    x = 302.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.