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Finding the Fourth Proportional to 633.72, 950.46 and 286.68

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Solution

The fourth proportional to 633.72, 950.46 and 286.68 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 950.46 = 286.68 : x
  2. Step 2: Convert to fraction form
    633.72/950.46 = 286.68/x
  3. Step 3: Cross multiply
    633.72x = 950.46 × 286.68
  4. Step 4: Simplify right side
    633.72x = 272,477.87
  5. Step 5: Solve for x
    x = 272,477.87/633.72
  6. Step 6: Final answer
    x = 429.97

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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.