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Finding the Fourth Proportional to 977.12, 1,464.74 and 327.38

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Solution

The fourth proportional to 977.12, 1,464.74 and 327.38 is: 490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,464.74 = 327.38 : x
  2. Step 2: Convert to fraction form
    977.12/1,464.74 = 327.38/x
  3. Step 3: Cross multiply
    977.12x = 1,464.74 × 327.38
  4. Step 4: Simplify right side
    977.12x = 479,517.62
  5. Step 5: Solve for x
    x = 479,517.62/977.12
  6. Step 6: Final answer
    x = 490.75

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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.