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Finding the Fourth Proportional to 674.45, 1,011.87 and 309.54

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Solution

The fourth proportional to 674.45, 1,011.87 and 309.54 is: 464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.45 : 1,011.87 = 309.54 : x
  2. Step 2: Convert to fraction form
    674.45/1,011.87 = 309.54/x
  3. Step 3: Cross multiply
    674.45x = 1,011.87 × 309.54
  4. Step 4: Simplify right side
    674.45x = 313,214.24
  5. Step 5: Solve for x
    x = 313,214.24/674.45
  6. Step 6: Final answer
    x = 464.40

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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.