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Finding the Fourth Proportional to 547.81, 755.87 and 314.89

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Solution

The fourth proportional to 547.81, 755.87 and 314.89 is: 434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.81 : 755.87 = 314.89 : x
  2. Step 2: Convert to fraction form
    547.81/755.87 = 314.89/x
  3. Step 3: Cross multiply
    547.81x = 755.87 × 314.89
  4. Step 4: Simplify right side
    547.81x = 238,014.33
  5. Step 5: Solve for x
    x = 238,014.33/547.81
  6. Step 6: Final answer
    x = 434.48

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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.