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Finding the Fourth Proportional to 486.09, 729.24 and 157.03

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Solution

The fourth proportional to 486.09, 729.24 and 157.03 is: 235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 729.24 = 157.03 : x
  2. Step 2: Convert to fraction form
    486.09/729.24 = 157.03/x
  3. Step 3: Cross multiply
    486.09x = 729.24 × 157.03
  4. Step 4: Simplify right side
    486.09x = 114,508.91
  5. Step 5: Solve for x
    x = 114,508.91/486.09
  6. Step 6: Final answer
    x = 235.57

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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.