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Finding the Fourth Proportional to 633.15, 949.72 and 286.42

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Solution

The fourth proportional to 633.15, 949.72 and 286.42 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.15 : 949.72 = 286.42 : x
  2. Step 2: Convert to fraction form
    633.15/949.72 = 286.42/x
  3. Step 3: Cross multiply
    633.15x = 949.72 × 286.42
  4. Step 4: Simplify right side
    633.15x = 272,018.80
  5. Step 5: Solve for x
    x = 272,018.80/633.15
  6. Step 6: Final answer
    x = 429.63

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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.