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Finding the Fourth Proportional to 633.96, 952.02 and 379.08

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Solution

The fourth proportional to 633.96, 952.02 and 379.08 is: 569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.96 : 952.02 = 379.08 : x
  2. Step 2: Convert to fraction form
    633.96/952.02 = 379.08/x
  3. Step 3: Cross multiply
    633.96x = 952.02 × 379.08
  4. Step 4: Simplify right side
    633.96x = 360,891.74
  5. Step 5: Solve for x
    x = 360,891.74/633.96
  6. Step 6: Final answer
    x = 569.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.