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Finding the Fourth Proportional to 509.11, 762.75 and 421.94

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Solution

The fourth proportional to 509.11, 762.75 and 421.94 is: 632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 762.75 = 421.94 : x
  2. Step 2: Convert to fraction form
    509.11/762.75 = 421.94/x
  3. Step 3: Cross multiply
    509.11x = 762.75 × 421.94
  4. Step 4: Simplify right side
    509.11x = 321,836.64
  5. Step 5: Solve for x
    x = 321,836.64/509.11
  6. Step 6: Final answer
    x = 632.16

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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.