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Finding the Fourth Proportional to 509.85, 764.58 and 185.13

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Solution

The fourth proportional to 509.85, 764.58 and 185.13 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.85 : 764.58 = 185.13 : x
  2. Step 2: Convert to fraction form
    509.85/764.58 = 185.13/x
  3. Step 3: Cross multiply
    509.85x = 764.58 × 185.13
  4. Step 4: Simplify right side
    509.85x = 141,546.70
  5. Step 5: Solve for x
    x = 141,546.70/509.85
  6. Step 6: Final answer
    x = 277.62

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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.