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Finding the Fourth Proportional to 974.80, 1,461.68 and 325.60

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Solution

The fourth proportional to 974.80, 1,461.68 and 325.60 is: 488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.80 : 1,461.68 = 325.60 : x
  2. Step 2: Convert to fraction form
    974.80/1,461.68 = 325.60/x
  3. Step 3: Cross multiply
    974.80x = 1,461.68 × 325.60
  4. Step 4: Simplify right side
    974.80x = 475,923.01
  5. Step 5: Solve for x
    x = 475,923.01/974.80
  6. Step 6: Final answer
    x = 488.23

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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.