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Finding the Fourth Proportional to 950.41, 1,423.77 and 538.30

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Solution

The fourth proportional to 950.41, 1,423.77 and 538.30 is: 806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.41 : 1,423.77 = 538.30 : x
  2. Step 2: Convert to fraction form
    950.41/1,423.77 = 538.30/x
  3. Step 3: Cross multiply
    950.41x = 1,423.77 × 538.30
  4. Step 4: Simplify right side
    950.41x = 766,415.39
  5. Step 5: Solve for x
    x = 766,415.39/950.41
  6. Step 6: Final answer
    x = 806.41

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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.