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Finding the Fourth Proportional to 850.46, 1,274.62 and 388.10

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Solution

The fourth proportional to 850.46, 1,274.62 and 388.10 is: 581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.46 : 1,274.62 = 388.10 : x
  2. Step 2: Convert to fraction form
    850.46/1,274.62 = 388.10/x
  3. Step 3: Cross multiply
    850.46x = 1,274.62 × 388.10
  4. Step 4: Simplify right side
    850.46x = 494,680.02
  5. Step 5: Solve for x
    x = 494,680.02/850.46
  6. Step 6: Final answer
    x = 581.66

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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.