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Finding the Fourth Proportional to 633.45, 874.08 and 353.65

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Solution

The fourth proportional to 633.45, 874.08 and 353.65 is: 487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.45 : 874.08 = 353.65 : x
  2. Step 2: Convert to fraction form
    633.45/874.08 = 353.65/x
  3. Step 3: Cross multiply
    633.45x = 874.08 × 353.65
  4. Step 4: Simplify right side
    633.45x = 309,112.25
  5. Step 5: Solve for x
    x = 309,112.25/633.45
  6. Step 6: Final answer
    x = 487.98

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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.