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Finding the Fourth Proportional to 674.57, 1,011.87 and 309.48

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Solution

The fourth proportional to 674.57, 1,011.87 and 309.48 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.57 : 1,011.87 = 309.48 : x
  2. Step 2: Convert to fraction form
    674.57/1,011.87 = 309.48/x
  3. Step 3: Cross multiply
    674.57x = 1,011.87 × 309.48
  4. Step 4: Simplify right side
    674.57x = 313,153.53
  5. Step 5: Solve for x
    x = 313,153.53/674.57
  6. Step 6: Final answer
    x = 464.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.