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Finding the Fourth Proportional to 547.79, 755.80 and 370.83

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Solution

The fourth proportional to 547.79, 755.80 and 370.83 is: 511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.79 : 755.80 = 370.83 : x
  2. Step 2: Convert to fraction form
    547.79/755.80 = 370.83/x
  3. Step 3: Cross multiply
    547.79x = 755.80 × 370.83
  4. Step 4: Simplify right side
    547.79x = 280,273.31
  5. Step 5: Solve for x
    x = 280,273.31/547.79
  6. Step 6: Final answer
    x = 511.64

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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.