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Finding the Fourth Proportional to 974.41, 1,461.61 and 396.88

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Solution

The fourth proportional to 974.41, 1,461.61 and 396.88 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.41 : 1,461.61 = 396.88 : x
  2. Step 2: Convert to fraction form
    974.41/1,461.61 = 396.88/x
  3. Step 3: Cross multiply
    974.41x = 1,461.61 × 396.88
  4. Step 4: Simplify right side
    974.41x = 580,083.78
  5. Step 5: Solve for x
    x = 580,083.78/974.41
  6. Step 6: Final answer
    x = 595.32

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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.