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Finding the Fourth Proportional to 627.93, 866.25 and 406.96

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Solution

The fourth proportional to 627.93, 866.25 and 406.96 is: 561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.93 : 866.25 = 406.96 : x
  2. Step 2: Convert to fraction form
    627.93/866.25 = 406.96/x
  3. Step 3: Cross multiply
    627.93x = 866.25 × 406.96
  4. Step 4: Simplify right side
    627.93x = 352,526.93
  5. Step 5: Solve for x
    x = 352,526.93/627.93
  6. Step 6: Final answer
    x = 561.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.