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Finding the Fourth Proportional to 384.74, 576.73 and 201.74

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Solution

The fourth proportional to 384.74, 576.73 and 201.74 is: 302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.74 : 576.73 = 201.74 : x
  2. Step 2: Convert to fraction form
    384.74/576.73 = 201.74/x
  3. Step 3: Cross multiply
    384.74x = 576.73 × 201.74
  4. Step 4: Simplify right side
    384.74x = 116,349.51
  5. Step 5: Solve for x
    x = 116,349.51/384.74
  6. Step 6: Final answer
    x = 302.41

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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.