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Finding the Fourth Proportional to 509.80, 765.08 and 185.44

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Solution

The fourth proportional to 509.80, 765.08 and 185.44 is: 278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 765.08 = 185.44 : x
  2. Step 2: Convert to fraction form
    509.80/765.08 = 185.44/x
  3. Step 3: Cross multiply
    509.80x = 765.08 × 185.44
  4. Step 4: Simplify right side
    509.80x = 141,876.44
  5. Step 5: Solve for x
    x = 141,876.44/509.80
  6. Step 6: Final answer
    x = 278.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.