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Finding the Fourth Proportional to 384.94, 577.05 and 141.31

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Solution

The fourth proportional to 384.94, 577.05 and 141.31 is: 211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.94 : 577.05 = 141.31 : x
  2. Step 2: Convert to fraction form
    384.94/577.05 = 141.31/x
  3. Step 3: Cross multiply
    384.94x = 577.05 × 141.31
  4. Step 4: Simplify right side
    384.94x = 81,542.94
  5. Step 5: Solve for x
    x = 81,542.94/384.94
  6. Step 6: Final answer
    x = 211.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.