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Finding the Fourth Proportional to 384.30, 576.71 and 254.02

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Solution

The fourth proportional to 384.30, 576.71 and 254.02 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 576.71 = 254.02 : x
  2. Step 2: Convert to fraction form
    384.30/576.71 = 254.02/x
  3. Step 3: Cross multiply
    384.30x = 576.71 × 254.02
  4. Step 4: Simplify right side
    384.30x = 146,495.87
  5. Step 5: Solve for x
    x = 146,495.87/384.30
  6. Step 6: Final answer
    x = 381.20

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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.