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Finding the Fourth Proportional to 504.86, 757.33 and 180.23

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Solution

The fourth proportional to 504.86, 757.33 and 180.23 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.86 : 757.33 = 180.23 : x
  2. Step 2: Convert to fraction form
    504.86/757.33 = 180.23/x
  3. Step 3: Cross multiply
    504.86x = 757.33 × 180.23
  4. Step 4: Simplify right side
    504.86x = 136,489.35
  5. Step 5: Solve for x
    x = 136,489.35/504.86
  6. Step 6: Final answer
    x = 270.35

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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.