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Finding the Fourth Proportional to 633.28, 873.84 and 400.24

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Solution

The fourth proportional to 633.28, 873.84 and 400.24 is: 552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.28 : 873.84 = 400.24 : x
  2. Step 2: Convert to fraction form
    633.28/873.84 = 400.24/x
  3. Step 3: Cross multiply
    633.28x = 873.84 × 400.24
  4. Step 4: Simplify right side
    633.28x = 349,745.72
  5. Step 5: Solve for x
    x = 349,745.72/633.28
  6. Step 6: Final answer
    x = 552.28

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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.