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Finding the Fourth Proportional to 384.86, 577.27 and 141.37

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Solution

The fourth proportional to 384.86, 577.27 and 141.37 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 577.27 = 141.37 : x
  2. Step 2: Convert to fraction form
    384.86/577.27 = 141.37/x
  3. Step 3: Cross multiply
    384.86x = 577.27 × 141.37
  4. Step 4: Simplify right side
    384.86x = 81,607.57
  5. Step 5: Solve for x
    x = 81,607.57/384.86
  6. Step 6: Final answer
    x = 212.04

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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.