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Finding the Fourth Proportional to 627.70, 942.05 and 237.82

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Solution

The fourth proportional to 627.70, 942.05 and 237.82 is: 356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.70 : 942.05 = 237.82 : x
  2. Step 2: Convert to fraction form
    627.70/942.05 = 237.82/x
  3. Step 3: Cross multiply
    627.70x = 942.05 × 237.82
  4. Step 4: Simplify right side
    627.70x = 224,038.33
  5. Step 5: Solve for x
    x = 224,038.33/627.70
  6. Step 6: Final answer
    x = 356.92

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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.