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Finding the Fourth Proportional to 504.98, 757.51 and 180.47

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Solution

The fourth proportional to 504.98, 757.51 and 180.47 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 757.51 = 180.47 : x
  2. Step 2: Convert to fraction form
    504.98/757.51 = 180.47/x
  3. Step 3: Cross multiply
    504.98x = 757.51 × 180.47
  4. Step 4: Simplify right side
    504.98x = 136,704.04
  5. Step 5: Solve for x
    x = 136,704.04/504.98
  6. Step 6: Final answer
    x = 270.71

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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.