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Finding the Fourth Proportional to 627.93, 942.18 and 281.23

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Solution

The fourth proportional to 627.93, 942.18 and 281.23 is: 421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.93 : 942.18 = 281.23 : x
  2. Step 2: Convert to fraction form
    627.93/942.18 = 281.23/x
  3. Step 3: Cross multiply
    627.93x = 942.18 × 281.23
  4. Step 4: Simplify right side
    627.93x = 264,969.40
  5. Step 5: Solve for x
    x = 264,969.40/627.93
  6. Step 6: Final answer
    x = 421.98

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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.