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Finding the Fourth Proportional to 496.71, 745.91 and 414.36

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Solution

The fourth proportional to 496.71, 745.91 and 414.36 is: 622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.71 : 745.91 = 414.36 : x
  2. Step 2: Convert to fraction form
    496.71/745.91 = 414.36/x
  3. Step 3: Cross multiply
    496.71x = 745.91 × 414.36
  4. Step 4: Simplify right side
    496.71x = 309,075.27
  5. Step 5: Solve for x
    x = 309,075.27/496.71
  6. Step 6: Final answer
    x = 622.24

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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.