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Finding the Fourth Proportional to 633.95, 950.11 and 287.27

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Solution

The fourth proportional to 633.95, 950.11 and 287.27 is: 430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.95 : 950.11 = 287.27 : x
  2. Step 2: Convert to fraction form
    633.95/950.11 = 287.27/x
  3. Step 3: Cross multiply
    633.95x = 950.11 × 287.27
  4. Step 4: Simplify right side
    633.95x = 272,938.10
  5. Step 5: Solve for x
    x = 272,938.10/633.95
  6. Step 6: Final answer
    x = 430.54

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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.