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Finding the Fourth Proportional to 974.61, 1,461.90 and 244.19

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Solution

The fourth proportional to 974.61, 1,461.90 and 244.19 is: 366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.61 : 1,461.90 = 244.19 : x
  2. Step 2: Convert to fraction form
    974.61/1,461.90 = 244.19/x
  3. Step 3: Cross multiply
    974.61x = 1,461.90 × 244.19
  4. Step 4: Simplify right side
    974.61x = 356,974.05
  5. Step 5: Solve for x
    x = 356,974.05/974.61
  6. Step 6: Final answer
    x = 366.27

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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.