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Finding the Fourth Proportional to 632.89, 949.16 and 286.03

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Solution

The fourth proportional to 632.89, 949.16 and 286.03 is: 428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.89 : 949.16 = 286.03 : x
  2. Step 2: Convert to fraction form
    632.89/949.16 = 286.03/x
  3. Step 3: Cross multiply
    632.89x = 949.16 × 286.03
  4. Step 4: Simplify right side
    632.89x = 271,488.23
  5. Step 5: Solve for x
    x = 271,488.23/632.89
  6. Step 6: Final answer
    x = 428.97

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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.