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Finding the Fourth Proportional to 504.84, 757.31 and 180.30

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Solution

The fourth proportional to 504.84, 757.31 and 180.30 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 757.31 = 180.30 : x
  2. Step 2: Convert to fraction form
    504.84/757.31 = 180.30/x
  3. Step 3: Cross multiply
    504.84x = 757.31 × 180.30
  4. Step 4: Simplify right side
    504.84x = 136,542.09
  5. Step 5: Solve for x
    x = 136,542.09/504.84
  6. Step 6: Final answer
    x = 270.47

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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.