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Finding the Fourth Proportional to 486.96, 729.99 and 395.88

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Solution

The fourth proportional to 486.96, 729.99 and 395.88 is: 593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.96 : 729.99 = 395.88 : x
  2. Step 2: Convert to fraction form
    486.96/729.99 = 395.88/x
  3. Step 3: Cross multiply
    486.96x = 729.99 × 395.88
  4. Step 4: Simplify right side
    486.96x = 288,988.44
  5. Step 5: Solve for x
    x = 288,988.44/486.96
  6. Step 6: Final answer
    x = 593.45

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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.