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Finding the Fourth Proportional to 504.94, 757.41 and 180.31

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Solution

The fourth proportional to 504.94, 757.41 and 180.31 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.94 : 757.41 = 180.31 : x
  2. Step 2: Convert to fraction form
    504.94/757.41 = 180.31/x
  3. Step 3: Cross multiply
    504.94x = 757.41 × 180.31
  4. Step 4: Simplify right side
    504.94x = 136,567.70
  5. Step 5: Solve for x
    x = 136,567.70/504.94
  6. Step 6: Final answer
    x = 270.46

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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.