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Finding the Fourth Proportional to 509.77, 764.96 and 185.10

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Solution

The fourth proportional to 509.77, 764.96 and 185.10 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.77 : 764.96 = 185.10 : x
  2. Step 2: Convert to fraction form
    509.77/764.96 = 185.10/x
  3. Step 3: Cross multiply
    509.77x = 764.96 × 185.10
  4. Step 4: Simplify right side
    509.77x = 141,589.35
  5. Step 5: Solve for x
    x = 141,589.35/509.77
  6. Step 6: Final answer
    x = 277.75

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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.