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Finding the Fourth Proportional to 628.96, 868 and 363.50

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Solution

The fourth proportional to 628.96, 868 and 363.50 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.96 : 868 = 363.50 : x
  2. Step 2: Convert to fraction form
    628.96/868 = 363.50/x
  3. Step 3: Cross multiply
    628.96x = 868 × 363.50
  4. Step 4: Simplify right side
    628.96x = 315,518
  5. Step 5: Solve for x
    x = 315,518/628.96
  6. Step 6: Final answer
    x = 501.65

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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.