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Finding the Fourth Proportional to 974.36, 1,461.63 and 281.04

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Solution

The fourth proportional to 974.36, 1,461.63 and 281.04 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.36 : 1,461.63 = 281.04 : x
  2. Step 2: Convert to fraction form
    974.36/1,461.63 = 281.04/x
  3. Step 3: Cross multiply
    974.36x = 1,461.63 × 281.04
  4. Step 4: Simplify right side
    974.36x = 410,776.50
  5. Step 5: Solve for x
    x = 410,776.50/974.36
  6. Step 6: Final answer
    x = 421.58

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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.