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Finding the Fourth Proportional to 547.19, 755.19 and 314.31

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Solution

The fourth proportional to 547.19, 755.19 and 314.31 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.19 : 755.19 = 314.31 : x
  2. Step 2: Convert to fraction form
    547.19/755.19 = 314.31/x
  3. Step 3: Cross multiply
    547.19x = 755.19 × 314.31
  4. Step 4: Simplify right side
    547.19x = 237,363.77
  5. Step 5: Solve for x
    x = 237,363.77/547.19
  6. Step 6: Final answer
    x = 433.79

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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.