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Finding the Fourth Proportional to 950.13, 1,424.84 and 333.77

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Solution

The fourth proportional to 950.13, 1,424.84 and 333.77 is: 500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.13 : 1,424.84 = 333.77 : x
  2. Step 2: Convert to fraction form
    950.13/1,424.84 = 333.77/x
  3. Step 3: Cross multiply
    950.13x = 1,424.84 × 333.77
  4. Step 4: Simplify right side
    950.13x = 475,560.05
  5. Step 5: Solve for x
    x = 475,560.05/950.13
  6. Step 6: Final answer
    x = 500.52

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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.