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Finding the Fourth Proportional to 509.01, 762.99 and 200.80

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Solution

The fourth proportional to 509.01, 762.99 and 200.80 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.01 : 762.99 = 200.80 : x
  2. Step 2: Convert to fraction form
    509.01/762.99 = 200.80/x
  3. Step 3: Cross multiply
    509.01x = 762.99 × 200.80
  4. Step 4: Simplify right side
    509.01x = 153,208.39
  5. Step 5: Solve for x
    x = 153,208.39/509.01
  6. Step 6: Final answer
    x = 300.99

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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.