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Finding the Fourth Proportional to 950.25, 1,424.47 and 364.83

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Solution

The fourth proportional to 950.25, 1,424.47 and 364.83 is: 546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.25 : 1,424.47 = 364.83 : x
  2. Step 2: Convert to fraction form
    950.25/1,424.47 = 364.83/x
  3. Step 3: Cross multiply
    950.25x = 1,424.47 × 364.83
  4. Step 4: Simplify right side
    950.25x = 519,689.39
  5. Step 5: Solve for x
    x = 519,689.39/950.25
  6. Step 6: Final answer
    x = 546.90

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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.