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Finding the Fourth Proportional to 547.63, 755.87 and 338.00

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Solution

The fourth proportional to 547.63, 755.87 and 338.00 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.63 : 755.87 = 338.00 : x
  2. Step 2: Convert to fraction form
    547.63/755.87 = 338.00/x
  3. Step 3: Cross multiply
    547.63x = 755.87 × 338.00
  4. Step 4: Simplify right side
    547.63x = 255,478.59
  5. Step 5: Solve for x
    x = 255,478.59/547.63
  6. Step 6: Final answer
    x = 466.52

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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.