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Finding the Fourth Proportional to 384.89, 577.31 and 110.99

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Solution

The fourth proportional to 384.89, 577.31 and 110.99 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.89 : 577.31 = 110.99 : x
  2. Step 2: Convert to fraction form
    384.89/577.31 = 110.99/x
  3. Step 3: Cross multiply
    384.89x = 577.31 × 110.99
  4. Step 4: Simplify right side
    384.89x = 64,072.20
  5. Step 5: Solve for x
    x = 64,072.20/384.89
  6. Step 6: Final answer
    x = 166.47

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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.