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Finding the Fourth Proportional to 633.69, 873.12 and 485.85

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Solution

The fourth proportional to 633.69, 873.12 and 485.85 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.69 : 873.12 = 485.85 : x
  2. Step 2: Convert to fraction form
    633.69/873.12 = 485.85/x
  3. Step 3: Cross multiply
    633.69x = 873.12 × 485.85
  4. Step 4: Simplify right side
    633.69x = 424,205.35
  5. Step 5: Solve for x
    x = 424,205.35/633.69
  6. Step 6: Final answer
    x = 669.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.