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Finding the Fourth Proportional to 974.90, 1,462.43 and 325.64

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Solution

The fourth proportional to 974.90, 1,462.43 and 325.64 is: 488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.90 : 1,462.43 = 325.64 : x
  2. Step 2: Convert to fraction form
    974.90/1,462.43 = 325.64/x
  3. Step 3: Cross multiply
    974.90x = 1,462.43 × 325.64
  4. Step 4: Simplify right side
    974.90x = 476,216.76
  5. Step 5: Solve for x
    x = 476,216.76/974.90
  6. Step 6: Final answer
    x = 488.48

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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.