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Finding the Fourth Proportional to 509.24, 763.94 and 180.16

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Solution

The fourth proportional to 509.24, 763.94 and 180.16 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 763.94 = 180.16 : x
  2. Step 2: Convert to fraction form
    509.24/763.94 = 180.16/x
  3. Step 3: Cross multiply
    509.24x = 763.94 × 180.16
  4. Step 4: Simplify right side
    509.24x = 137,631.43
  5. Step 5: Solve for x
    x = 137,631.43/509.24
  6. Step 6: Final answer
    x = 270.27

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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.