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Finding the Fourth Proportional to 627.05, 940.46 and 256.77

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Solution

The fourth proportional to 627.05, 940.46 and 256.77 is: 385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.05 : 940.46 = 256.77 : x
  2. Step 2: Convert to fraction form
    627.05/940.46 = 256.77/x
  3. Step 3: Cross multiply
    627.05x = 940.46 × 256.77
  4. Step 4: Simplify right side
    627.05x = 241,480.63
  5. Step 5: Solve for x
    x = 241,480.63/627.05
  6. Step 6: Final answer
    x = 385.10

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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.