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Finding the Fourth Proportional to 627.90, 941.06 and 473.32

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Solution

The fourth proportional to 627.90, 941.06 and 473.32 is: 709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.90 : 941.06 = 473.32 : x
  2. Step 2: Convert to fraction form
    627.90/941.06 = 473.32/x
  3. Step 3: Cross multiply
    627.90x = 941.06 × 473.32
  4. Step 4: Simplify right side
    627.90x = 445,422.52
  5. Step 5: Solve for x
    x = 445,422.52/627.90
  6. Step 6: Final answer
    x = 709.38

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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.