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Finding the Fourth Proportional to 384.85, 577.27 and 96.28

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Solution

The fourth proportional to 384.85, 577.27 and 96.28 is: 144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.85 : 577.27 = 96.28 : x
  2. Step 2: Convert to fraction form
    384.85/577.27 = 96.28/x
  3. Step 3: Cross multiply
    384.85x = 577.27 × 96.28
  4. Step 4: Simplify right side
    384.85x = 55,579.56
  5. Step 5: Solve for x
    x = 55,579.56/384.85
  6. Step 6: Final answer
    x = 144.42

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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.