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Finding the Fourth Proportional to 442.26, 661.77 and 407.84

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Solution

The fourth proportional to 442.26, 661.77 and 407.84 is: 610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 661.77 = 407.84 : x
  2. Step 2: Convert to fraction form
    442.26/661.77 = 407.84/x
  3. Step 3: Cross multiply
    442.26x = 661.77 × 407.84
  4. Step 4: Simplify right side
    442.26x = 269,892.97
  5. Step 5: Solve for x
    x = 269,892.97/442.26
  6. Step 6: Final answer
    x = 610.26

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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.