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Finding the Fourth Proportional to 486.11, 728.49 and 312.69

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Solution

The fourth proportional to 486.11, 728.49 and 312.69 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.11 : 728.49 = 312.69 : x
  2. Step 2: Convert to fraction form
    486.11/728.49 = 312.69/x
  3. Step 3: Cross multiply
    486.11x = 728.49 × 312.69
  4. Step 4: Simplify right side
    486.11x = 227,791.54
  5. Step 5: Solve for x
    x = 227,791.54/486.11
  6. Step 6: Final answer
    x = 468.61

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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.