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Finding the Fourth Proportional to 633.99, 874.80 and 354.23

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Solution

The fourth proportional to 633.99, 874.80 and 354.23 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.99 : 874.80 = 354.23 : x
  2. Step 2: Convert to fraction form
    633.99/874.80 = 354.23/x
  3. Step 3: Cross multiply
    633.99x = 874.80 × 354.23
  4. Step 4: Simplify right side
    633.99x = 309,880.40
  5. Step 5: Solve for x
    x = 309,880.40/633.99
  6. Step 6: Final answer
    x = 488.78

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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.