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Finding the Fourth Proportional to 633.86, 951.01 and 452.67

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Solution

The fourth proportional to 633.86, 951.01 and 452.67 is: 679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.86 : 951.01 = 452.67 : x
  2. Step 2: Convert to fraction form
    633.86/951.01 = 452.67/x
  3. Step 3: Cross multiply
    633.86x = 951.01 × 452.67
  4. Step 4: Simplify right side
    633.86x = 430,489.00
  5. Step 5: Solve for x
    x = 430,489.00/633.86
  6. Step 6: Final answer
    x = 679.16

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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.