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Finding the Fourth Proportional to 634.41, 950.42 and 359.67

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Solution

The fourth proportional to 634.41, 950.42 and 359.67 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.41 : 950.42 = 359.67 : x
  2. Step 2: Convert to fraction form
    634.41/950.42 = 359.67/x
  3. Step 3: Cross multiply
    634.41x = 950.42 × 359.67
  4. Step 4: Simplify right side
    634.41x = 341,835.76
  5. Step 5: Solve for x
    x = 341,835.76/634.41
  6. Step 6: Final answer
    x = 538.82

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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.