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Finding the Fourth Proportional to 755.27, 1,133.29 and 360.40

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Solution

The fourth proportional to 755.27, 1,133.29 and 360.40 is: 540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.27 : 1,133.29 = 360.40 : x
  2. Step 2: Convert to fraction form
    755.27/1,133.29 = 360.40/x
  3. Step 3: Cross multiply
    755.27x = 1,133.29 × 360.40
  4. Step 4: Simplify right side
    755.27x = 408,437.72
  5. Step 5: Solve for x
    x = 408,437.72/755.27
  6. Step 6: Final answer
    x = 540.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.