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Finding the Fourth Proportional to 486.47, 729.77 and 157.29

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Solution

The fourth proportional to 486.47, 729.77 and 157.29 is: 235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.47 : 729.77 = 157.29 : x
  2. Step 2: Convert to fraction form
    486.47/729.77 = 157.29/x
  3. Step 3: Cross multiply
    486.47x = 729.77 × 157.29
  4. Step 4: Simplify right side
    486.47x = 114,784.74
  5. Step 5: Solve for x
    x = 114,784.74/486.47
  6. Step 6: Final answer
    x = 235.96

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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.