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Finding the Fourth Proportional to 985.12, 1,477.30 and 326.79

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Solution

The fourth proportional to 985.12, 1,477.30 and 326.79 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.12 : 1,477.30 = 326.79 : x
  2. Step 2: Convert to fraction form
    985.12/1,477.30 = 326.79/x
  3. Step 3: Cross multiply
    985.12x = 1,477.30 × 326.79
  4. Step 4: Simplify right side
    985.12x = 482,766.87
  5. Step 5: Solve for x
    x = 482,766.87/985.12
  6. Step 6: Final answer
    x = 490.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.