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Finding the Fourth Proportional to 509.67, 763.83 and 451.80

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Solution

The fourth proportional to 509.67, 763.83 and 451.80 is: 677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.67 : 763.83 = 451.80 : x
  2. Step 2: Convert to fraction form
    509.67/763.83 = 451.80/x
  3. Step 3: Cross multiply
    509.67x = 763.83 × 451.80
  4. Step 4: Simplify right side
    509.67x = 345,098.39
  5. Step 5: Solve for x
    x = 345,098.39/509.67
  6. Step 6: Final answer
    x = 677.10

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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.