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Finding the Fourth Proportional to 633.26, 873.36 and 409.23

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Solution

The fourth proportional to 633.26, 873.36 and 409.23 is: 564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.26 : 873.36 = 409.23 : x
  2. Step 2: Convert to fraction form
    633.26/873.36 = 409.23/x
  3. Step 3: Cross multiply
    633.26x = 873.36 × 409.23
  4. Step 4: Simplify right side
    633.26x = 357,405.11
  5. Step 5: Solve for x
    x = 357,405.11/633.26
  6. Step 6: Final answer
    x = 564.39

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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.