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Finding the Fourth Proportional to 633.87, 873.91 and 465.29

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Solution

The fourth proportional to 633.87, 873.91 and 465.29 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.87 : 873.91 = 465.29 : x
  2. Step 2: Convert to fraction form
    633.87/873.91 = 465.29/x
  3. Step 3: Cross multiply
    633.87x = 873.91 × 465.29
  4. Step 4: Simplify right side
    633.87x = 406,617.80
  5. Step 5: Solve for x
    x = 406,617.80/633.87
  6. Step 6: Final answer
    x = 641.49

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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.