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Finding the Fourth Proportional to 547.57, 755.64 and 314.70

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Solution

The fourth proportional to 547.57, 755.64 and 314.70 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.57 : 755.64 = 314.70 : x
  2. Step 2: Convert to fraction form
    547.57/755.64 = 314.70/x
  3. Step 3: Cross multiply
    547.57x = 755.64 × 314.70
  4. Step 4: Simplify right side
    547.57x = 237,799.91
  5. Step 5: Solve for x
    x = 237,799.91/547.57
  6. Step 6: Final answer
    x = 434.28

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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.