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Finding the Fourth Proportional to 974.55, 1,461.44 and 341.17

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Solution

The fourth proportional to 974.55, 1,461.44 and 341.17 is: 511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.55 : 1,461.44 = 341.17 : x
  2. Step 2: Convert to fraction form
    974.55/1,461.44 = 341.17/x
  3. Step 3: Cross multiply
    974.55x = 1,461.44 × 341.17
  4. Step 4: Simplify right side
    974.55x = 498,596.68
  5. Step 5: Solve for x
    x = 498,596.68/974.55
  6. Step 6: Final answer
    x = 511.62

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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.