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Finding the Fourth Proportional to 504.68, 757.12 and 180.04

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Solution

The fourth proportional to 504.68, 757.12 and 180.04 is: 270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.68 : 757.12 = 180.04 : x
  2. Step 2: Convert to fraction form
    504.68/757.12 = 180.04/x
  3. Step 3: Cross multiply
    504.68x = 757.12 × 180.04
  4. Step 4: Simplify right side
    504.68x = 136,311.88
  5. Step 5: Solve for x
    x = 136,311.88/504.68
  6. Step 6: Final answer
    x = 270.10

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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.