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Finding the Fourth Proportional to 627.79, 941.84 and 194.94

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Solution

The fourth proportional to 627.79, 941.84 and 194.94 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.79 : 941.84 = 194.94 : x
  2. Step 2: Convert to fraction form
    627.79/941.84 = 194.94/x
  3. Step 3: Cross multiply
    627.79x = 941.84 × 194.94
  4. Step 4: Simplify right side
    627.79x = 183,602.29
  5. Step 5: Solve for x
    x = 183,602.29/627.79
  6. Step 6: Final answer
    x = 292.46

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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.