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Finding the Fourth Proportional to 384.80, 576.82 and 263.10

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Solution

The fourth proportional to 384.80, 576.82 and 263.10 is: 394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 576.82 = 263.10 : x
  2. Step 2: Convert to fraction form
    384.80/576.82 = 263.10/x
  3. Step 3: Cross multiply
    384.80x = 576.82 × 263.10
  4. Step 4: Simplify right side
    384.80x = 151,760.03
  5. Step 5: Solve for x
    x = 151,760.03/384.80
  6. Step 6: Final answer
    x = 394.39

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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.