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Finding the Fourth Proportional to 384.82, 577.63 and 247.52

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Solution

The fourth proportional to 384.82, 577.63 and 247.52 is: 371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 577.63 = 247.52 : x
  2. Step 2: Convert to fraction form
    384.82/577.63 = 247.52/x
  3. Step 3: Cross multiply
    384.82x = 577.63 × 247.52
  4. Step 4: Simplify right side
    384.82x = 142,976.73
  5. Step 5: Solve for x
    x = 142,976.73/384.82
  6. Step 6: Final answer
    x = 371.54

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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.