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Finding the Fourth Proportional to 633.09, 873.64 and 353.34

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Solution

The fourth proportional to 633.09, 873.64 and 353.34 is: 487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.09 : 873.64 = 353.34 : x
  2. Step 2: Convert to fraction form
    633.09/873.64 = 353.34/x
  3. Step 3: Cross multiply
    633.09x = 873.64 × 353.34
  4. Step 4: Simplify right side
    633.09x = 308,687.95
  5. Step 5: Solve for x
    x = 308,687.95/633.09
  6. Step 6: Final answer
    x = 487.59

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Why These Related Problems?

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