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Finding the Fourth Proportional to 627.18, 940.10 and 261.74

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Solution

The fourth proportional to 627.18, 940.10 and 261.74 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.18 : 940.10 = 261.74 : x
  2. Step 2: Convert to fraction form
    627.18/940.10 = 261.74/x
  3. Step 3: Cross multiply
    627.18x = 940.10 × 261.74
  4. Step 4: Simplify right side
    627.18x = 246,055.76
  5. Step 5: Solve for x
    x = 246,055.76/627.18
  6. Step 6: Final answer
    x = 392.32

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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.