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Finding the Fourth Proportional to 509.88, 764.54 and 180.77

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Solution

The fourth proportional to 509.88, 764.54 and 180.77 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 764.54 = 180.77 : x
  2. Step 2: Convert to fraction form
    509.88/764.54 = 180.77/x
  3. Step 3: Cross multiply
    509.88x = 764.54 × 180.77
  4. Step 4: Simplify right side
    509.88x = 138,202.86
  5. Step 5: Solve for x
    x = 138,202.86/509.88
  6. Step 6: Final answer
    x = 271.05

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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.