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Finding the Fourth Proportional to 509.92, 765.28 and 266.56

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Solution

The fourth proportional to 509.92, 765.28 and 266.56 is: 400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 765.28 = 266.56 : x
  2. Step 2: Convert to fraction form
    509.92/765.28 = 266.56/x
  3. Step 3: Cross multiply
    509.92x = 765.28 × 266.56
  4. Step 4: Simplify right side
    509.92x = 203,993.04
  5. Step 5: Solve for x
    x = 203,993.04/509.92
  6. Step 6: Final answer
    x = 400.05

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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.