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Finding the Fourth Proportional to 486.89, 731.04 and 305.03

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Solution

The fourth proportional to 486.89, 731.04 and 305.03 is: 457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 731.04 = 305.03 : x
  2. Step 2: Convert to fraction form
    486.89/731.04 = 305.03/x
  3. Step 3: Cross multiply
    486.89x = 731.04 × 305.03
  4. Step 4: Simplify right side
    486.89x = 222,989.13
  5. Step 5: Solve for x
    x = 222,989.13/486.89
  6. Step 6: Final answer
    x = 457.99

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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.