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Finding the Fourth Proportional to 496.54, 745.61 and 409.69

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Solution

The fourth proportional to 496.54, 745.61 and 409.69 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.54 : 745.61 = 409.69 : x
  2. Step 2: Convert to fraction form
    496.54/745.61 = 409.69/x
  3. Step 3: Cross multiply
    496.54x = 745.61 × 409.69
  4. Step 4: Simplify right side
    496.54x = 305,466.43
  5. Step 5: Solve for x
    x = 305,466.43/496.54
  6. Step 6: Final answer
    x = 615.19

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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.