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Finding the Fourth Proportional to 550.43, 759.53 and 314.41

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Solution

The fourth proportional to 550.43, 759.53 and 314.41 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.43 : 759.53 = 314.41 : x
  2. Step 2: Convert to fraction form
    550.43/759.53 = 314.41/x
  3. Step 3: Cross multiply
    550.43x = 759.53 × 314.41
  4. Step 4: Simplify right side
    550.43x = 238,798.46
  5. Step 5: Solve for x
    x = 238,798.46/550.43
  6. Step 6: Final answer
    x = 433.84

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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.