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Finding the Fourth Proportional to 550.12, 759.36 and 418.90

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Solution

The fourth proportional to 550.12, 759.36 and 418.90 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.12 : 759.36 = 418.90 : x
  2. Step 2: Convert to fraction form
    550.12/759.36 = 418.90/x
  3. Step 3: Cross multiply
    550.12x = 759.36 × 418.90
  4. Step 4: Simplify right side
    550.12x = 318,095.90
  5. Step 5: Solve for x
    x = 318,095.90/550.12
  6. Step 6: Final answer
    x = 578.23

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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.