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Finding the Fourth Proportional to 547.14, 755.08 and 314.34

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Solution

The fourth proportional to 547.14, 755.08 and 314.34 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.14 : 755.08 = 314.34 : x
  2. Step 2: Convert to fraction form
    547.14/755.08 = 314.34/x
  3. Step 3: Cross multiply
    547.14x = 755.08 × 314.34
  4. Step 4: Simplify right side
    547.14x = 237,351.85
  5. Step 5: Solve for x
    x = 237,351.85/547.14
  6. Step 6: Final answer
    x = 433.80

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Why These Related Problems?

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