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Finding the Fourth Proportional to 633.01, 874.69 and 493.49

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Solution

The fourth proportional to 633.01, 874.69 and 493.49 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.01 : 874.69 = 493.49 : x
  2. Step 2: Convert to fraction form
    633.01/874.69 = 493.49/x
  3. Step 3: Cross multiply
    633.01x = 874.69 × 493.49
  4. Step 4: Simplify right side
    633.01x = 431,650.77
  5. Step 5: Solve for x
    x = 431,650.77/633.01
  6. Step 6: Final answer
    x = 681.90

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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.