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Finding the Fourth Proportional to 969.70, 1,454.43 and 276.40

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Solution

The fourth proportional to 969.70, 1,454.43 and 276.40 is: 414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.70 : 1,454.43 = 276.40 : x
  2. Step 2: Convert to fraction form
    969.70/1,454.43 = 276.40/x
  3. Step 3: Cross multiply
    969.70x = 1,454.43 × 276.40
  4. Step 4: Simplify right side
    969.70x = 402,004.45
  5. Step 5: Solve for x
    x = 402,004.45/969.70
  6. Step 6: Final answer
    x = 414.57

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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.