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Finding the Fourth Proportional to 633.44, 874.16 and 357.44

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Solution

The fourth proportional to 633.44, 874.16 and 357.44 is: 493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.44 : 874.16 = 357.44 : x
  2. Step 2: Convert to fraction form
    633.44/874.16 = 357.44/x
  3. Step 3: Cross multiply
    633.44x = 874.16 × 357.44
  4. Step 4: Simplify right side
    633.44x = 312,459.75
  5. Step 5: Solve for x
    x = 312,459.75/633.44
  6. Step 6: Final answer
    x = 493.27

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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.