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Finding the Fourth Proportional to 627.39, 940.75 and 498.23

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Solution

The fourth proportional to 627.39, 940.75 and 498.23 is: 747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.39 : 940.75 = 498.23 : x
  2. Step 2: Convert to fraction form
    627.39/940.75 = 498.23/x
  3. Step 3: Cross multiply
    627.39x = 940.75 × 498.23
  4. Step 4: Simplify right side
    627.39x = 468,702.68
  5. Step 5: Solve for x
    x = 468,702.68/627.39
  6. Step 6: Final answer
    x = 747.07

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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.