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Finding the Fourth Proportional to 547.61, 755.76 and 314.73

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Solution

The fourth proportional to 547.61, 755.76 and 314.73 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.61 : 755.76 = 314.73 : x
  2. Step 2: Convert to fraction form
    547.61/755.76 = 314.73/x
  3. Step 3: Cross multiply
    547.61x = 755.76 × 314.73
  4. Step 4: Simplify right side
    547.61x = 237,860.34
  5. Step 5: Solve for x
    x = 237,860.34/547.61
  6. Step 6: Final answer
    x = 434.36

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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.