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Finding the Fourth Proportional to 633.06, 873.43 and 412.33

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Solution

The fourth proportional to 633.06, 873.43 and 412.33 is: 568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.06 : 873.43 = 412.33 : x
  2. Step 2: Convert to fraction form
    633.06/873.43 = 412.33/x
  3. Step 3: Cross multiply
    633.06x = 873.43 × 412.33
  4. Step 4: Simplify right side
    633.06x = 360,141.39
  5. Step 5: Solve for x
    x = 360,141.39/633.06
  6. Step 6: Final answer
    x = 568.89

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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.