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Finding the Fourth Proportional to 633.42, 874.46 and 447.08

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Solution

The fourth proportional to 633.42, 874.46 and 447.08 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.42 : 874.46 = 447.08 : x
  2. Step 2: Convert to fraction form
    633.42/874.46 = 447.08/x
  3. Step 3: Cross multiply
    633.42x = 874.46 × 447.08
  4. Step 4: Simplify right side
    633.42x = 390,953.58
  5. Step 5: Solve for x
    x = 390,953.58/633.42
  6. Step 6: Final answer
    x = 617.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.