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Finding the Fourth Proportional to 627.96, 941.48 and 491.30

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Solution

The fourth proportional to 627.96, 941.48 and 491.30 is: 736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.96 : 941.48 = 491.30 : x
  2. Step 2: Convert to fraction form
    627.96/941.48 = 491.30/x
  3. Step 3: Cross multiply
    627.96x = 941.48 × 491.30
  4. Step 4: Simplify right side
    627.96x = 462,549.12
  5. Step 5: Solve for x
    x = 462,549.12/627.96
  6. Step 6: Final answer
    x = 736.59

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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.