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Finding the Fourth Proportional to 974.14, 1,461.05 and 280.65

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Solution

The fourth proportional to 974.14, 1,461.05 and 280.65 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,461.05 = 280.65 : x
  2. Step 2: Convert to fraction form
    974.14/1,461.05 = 280.65/x
  3. Step 3: Cross multiply
    974.14x = 1,461.05 × 280.65
  4. Step 4: Simplify right side
    974.14x = 410,043.68
  5. Step 5: Solve for x
    x = 410,043.68/974.14
  6. Step 6: Final answer
    x = 420.93

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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.