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Finding the Fourth Proportional to 627.72, 941.10 and 491.05

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Solution

The fourth proportional to 627.72, 941.10 and 491.05 is: 736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.72 : 941.10 = 491.05 : x
  2. Step 2: Convert to fraction form
    627.72/941.10 = 491.05/x
  3. Step 3: Cross multiply
    627.72x = 941.10 × 491.05
  4. Step 4: Simplify right side
    627.72x = 462,127.16
  5. Step 5: Solve for x
    x = 462,127.16/627.72
  6. Step 6: Final answer
    x = 736.20

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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.