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Finding the Fourth Proportional to 550.23, 759.42 and 411.05

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Solution

The fourth proportional to 550.23, 759.42 and 411.05 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.23 : 759.42 = 411.05 : x
  2. Step 2: Convert to fraction form
    550.23/759.42 = 411.05/x
  3. Step 3: Cross multiply
    550.23x = 759.42 × 411.05
  4. Step 4: Simplify right side
    550.23x = 312,153.74
  5. Step 5: Solve for x
    x = 312,153.74/550.23
  6. Step 6: Final answer
    x = 567.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.