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Finding the Fourth Proportional to 486.52, 729.85 and 157.34

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Solution

The fourth proportional to 486.52, 729.85 and 157.34 is: 236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.52 : 729.85 = 157.34 : x
  2. Step 2: Convert to fraction form
    486.52/729.85 = 157.34/x
  3. Step 3: Cross multiply
    486.52x = 729.85 × 157.34
  4. Step 4: Simplify right side
    486.52x = 114,836.03
  5. Step 5: Solve for x
    x = 114,836.03/486.52
  6. Step 6: Final answer
    x = 236.04

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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.