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Finding the Fourth Proportional to 950.24, 1,424.25 and 364.86

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Solution

The fourth proportional to 950.24, 1,424.25 and 364.86 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.24 : 1,424.25 = 364.86 : x
  2. Step 2: Convert to fraction form
    950.24/1,424.25 = 364.86/x
  3. Step 3: Cross multiply
    950.24x = 1,424.25 × 364.86
  4. Step 4: Simplify right side
    950.24x = 519,651.86
  5. Step 5: Solve for x
    x = 519,651.86/950.24
  6. Step 6: Final answer
    x = 546.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.