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Finding the Fourth Proportional to 550.40, 825.80 and 306.99

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Solution

The fourth proportional to 550.40, 825.80 and 306.99 is: 460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 825.80 = 306.99 : x
  2. Step 2: Convert to fraction form
    550.40/825.80 = 306.99/x
  3. Step 3: Cross multiply
    550.40x = 825.80 × 306.99
  4. Step 4: Simplify right side
    550.40x = 253,510.81
  5. Step 5: Solve for x
    x = 253,510.81/550.40
  6. Step 6: Final answer
    x = 460.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.