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Finding the Fourth Proportional to 509.29, 763.66 and 180.07

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Solution

The fourth proportional to 509.29, 763.66 and 180.07 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.29 : 763.66 = 180.07 : x
  2. Step 2: Convert to fraction form
    509.29/763.66 = 180.07/x
  3. Step 3: Cross multiply
    509.29x = 763.66 × 180.07
  4. Step 4: Simplify right side
    509.29x = 137,512.26
  5. Step 5: Solve for x
    x = 137,512.26/509.29
  6. Step 6: Final answer
    x = 270.01

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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.