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Finding the Fourth Proportional to 633.42, 950.19 and 389.42

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Solution

The fourth proportional to 633.42, 950.19 and 389.42 is: 584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.42 : 950.19 = 389.42 : x
  2. Step 2: Convert to fraction form
    633.42/950.19 = 389.42/x
  3. Step 3: Cross multiply
    633.42x = 950.19 × 389.42
  4. Step 4: Simplify right side
    633.42x = 370,022.99
  5. Step 5: Solve for x
    x = 370,022.99/633.42
  6. Step 6: Final answer
    x = 584.17

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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.