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Finding the Fourth Proportional to 633.08, 949.88 and 286.17

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Solution

The fourth proportional to 633.08, 949.88 and 286.17 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.08 : 949.88 = 286.17 : x
  2. Step 2: Convert to fraction form
    633.08/949.88 = 286.17/x
  3. Step 3: Cross multiply
    633.08x = 949.88 × 286.17
  4. Step 4: Simplify right side
    633.08x = 271,825.73
  5. Step 5: Solve for x
    x = 271,825.73/633.08
  6. Step 6: Final answer
    x = 429.37

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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.