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Finding the Fourth Proportional to 975.94, 1,464.09 and 327.14

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Solution

The fourth proportional to 975.94, 1,464.09 and 327.14 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.94 : 1,464.09 = 327.14 : x
  2. Step 2: Convert to fraction form
    975.94/1,464.09 = 327.14/x
  3. Step 3: Cross multiply
    975.94x = 1,464.09 × 327.14
  4. Step 4: Simplify right side
    975.94x = 478,962.40
  5. Step 5: Solve for x
    x = 478,962.40/975.94
  6. Step 6: Final answer
    x = 490.77

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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.