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Finding the Fourth Proportional to 627.18, 938.83 and 462.84

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Solution

The fourth proportional to 627.18, 938.83 and 462.84 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.18 : 938.83 = 462.84 : x
  2. Step 2: Convert to fraction form
    627.18/938.83 = 462.84/x
  3. Step 3: Cross multiply
    627.18x = 938.83 × 462.84
  4. Step 4: Simplify right side
    627.18x = 434,521.07
  5. Step 5: Solve for x
    x = 434,521.07/627.18
  6. Step 6: Final answer
    x = 692.82

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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.