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Finding the Fourth Proportional to 633.02, 952.90 and 451.67

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Solution

The fourth proportional to 633.02, 952.90 and 451.67 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.02 : 952.90 = 451.67 : x
  2. Step 2: Convert to fraction form
    633.02/952.90 = 451.67/x
  3. Step 3: Cross multiply
    633.02x = 952.90 × 451.67
  4. Step 4: Simplify right side
    633.02x = 430,396.34
  5. Step 5: Solve for x
    x = 430,396.34/633.02
  6. Step 6: Final answer
    x = 679.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.