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Finding the Fourth Proportional to 547.94, 756.30 and 338.15

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Solution

The fourth proportional to 547.94, 756.30 and 338.15 is: 466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.94 : 756.30 = 338.15 : x
  2. Step 2: Convert to fraction form
    547.94/756.30 = 338.15/x
  3. Step 3: Cross multiply
    547.94x = 756.30 × 338.15
  4. Step 4: Simplify right side
    547.94x = 255,739.06
  5. Step 5: Solve for x
    x = 255,739.06/547.94
  6. Step 6: Final answer
    x = 466.73

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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.