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Finding the Fourth Proportional to 509.01, 763.71 and 444.75

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Solution

The fourth proportional to 509.01, 763.71 and 444.75 is: 667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.01 : 763.71 = 444.75 : x
  2. Step 2: Convert to fraction form
    509.01/763.71 = 444.75/x
  3. Step 3: Cross multiply
    509.01x = 763.71 × 444.75
  4. Step 4: Simplify right side
    509.01x = 339,660.02
  5. Step 5: Solve for x
    x = 339,660.02/509.01
  6. Step 6: Final answer
    x = 667.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.