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Finding the Fourth Proportional to 633.44, 874.44 and 447.08

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Solution

The fourth proportional to 633.44, 874.44 and 447.08 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.44 : 874.44 = 447.08 : x
  2. Step 2: Convert to fraction form
    633.44/874.44 = 447.08/x
  3. Step 3: Cross multiply
    633.44x = 874.44 × 447.08
  4. Step 4: Simplify right side
    633.44x = 390,944.64
  5. Step 5: Solve for x
    x = 390,944.64/633.44
  6. Step 6: Final answer
    x = 617.18

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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.