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Finding the Fourth Proportional to 509.40, 763.98 and 180.32

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Solution

The fourth proportional to 509.40, 763.98 and 180.32 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 763.98 = 180.32 : x
  2. Step 2: Convert to fraction form
    509.40/763.98 = 180.32/x
  3. Step 3: Cross multiply
    509.40x = 763.98 × 180.32
  4. Step 4: Simplify right side
    509.40x = 137,756.38
  5. Step 5: Solve for x
    x = 137,756.38/509.40
  6. Step 6: Final answer
    x = 270.43

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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.