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Finding the Fourth Proportional to 505.44, 758.23 and 180.77

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Solution

The fourth proportional to 505.44, 758.23 and 180.77 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 758.23 = 180.77 : x
  2. Step 2: Convert to fraction form
    505.44/758.23 = 180.77/x
  3. Step 3: Cross multiply
    505.44x = 758.23 × 180.77
  4. Step 4: Simplify right side
    505.44x = 137,060.99
  5. Step 5: Solve for x
    x = 137,060.99/505.44
  6. Step 6: Final answer
    x = 271.17

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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.