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Finding the Fourth Proportional to 633.84, 868.34 and 610.15

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Solution

The fourth proportional to 633.84, 868.34 and 610.15 is: 835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.84 : 868.34 = 610.15 : x
  2. Step 2: Convert to fraction form
    633.84/868.34 = 610.15/x
  3. Step 3: Cross multiply
    633.84x = 868.34 × 610.15
  4. Step 4: Simplify right side
    633.84x = 529,814.23
  5. Step 5: Solve for x
    x = 529,814.23/633.84
  6. Step 6: Final answer
    x = 835.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.