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Finding the Fourth Proportional to 509.08, 763.66 and 180.04

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Solution

The fourth proportional to 509.08, 763.66 and 180.04 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 763.66 = 180.04 : x
  2. Step 2: Convert to fraction form
    509.08/763.66 = 180.04/x
  3. Step 3: Cross multiply
    509.08x = 763.66 × 180.04
  4. Step 4: Simplify right side
    509.08x = 137,489.35
  5. Step 5: Solve for x
    x = 137,489.35/509.08
  6. Step 6: Final answer
    x = 270.07

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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.