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Finding the Fourth Proportional to 550.29, 759.06 and 419.07

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Solution

The fourth proportional to 550.29, 759.06 and 419.07 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 759.06 = 419.07 : x
  2. Step 2: Convert to fraction form
    550.29/759.06 = 419.07/x
  3. Step 3: Cross multiply
    550.29x = 759.06 × 419.07
  4. Step 4: Simplify right side
    550.29x = 318,099.27
  5. Step 5: Solve for x
    x = 318,099.27/550.29
  6. Step 6: Final answer
    x = 578.06

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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.