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Finding the Fourth Proportional to 550.68, 759.18 and 419.64

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Solution

The fourth proportional to 550.68, 759.18 and 419.64 is: 578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 759.18 = 419.64 : x
  2. Step 2: Convert to fraction form
    550.68/759.18 = 419.64/x
  3. Step 3: Cross multiply
    550.68x = 759.18 × 419.64
  4. Step 4: Simplify right side
    550.68x = 318,582.30
  5. Step 5: Solve for x
    x = 318,582.30/550.68
  6. Step 6: Final answer
    x = 578.53

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