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Finding the Fourth Proportional to 491.25, 736.74 and 414.26

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Solution

The fourth proportional to 491.25, 736.74 and 414.26 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.25 : 736.74 = 414.26 : x
  2. Step 2: Convert to fraction form
    491.25/736.74 = 414.26/x
  3. Step 3: Cross multiply
    491.25x = 736.74 × 414.26
  4. Step 4: Simplify right side
    491.25x = 305,201.91
  5. Step 5: Solve for x
    x = 305,201.91/491.25
  6. Step 6: Final answer
    x = 621.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.