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Finding the Fourth Proportional to 974.57, 1,461.50 and 281.00

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Solution

The fourth proportional to 974.57, 1,461.50 and 281.00 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.57 : 1,461.50 = 281.00 : x
  2. Step 2: Convert to fraction form
    974.57/1,461.50 = 281.00/x
  3. Step 3: Cross multiply
    974.57x = 1,461.50 × 281.00
  4. Step 4: Simplify right side
    974.57x = 410,683.75
  5. Step 5: Solve for x
    x = 410,683.75/974.57
  6. Step 6: Final answer
    x = 421.40

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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.