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Finding the Fourth Proportional to 949.75, 1,423.64 and 364.62

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Solution

The fourth proportional to 949.75, 1,423.64 and 364.62 is: 546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.75 : 1,423.64 = 364.62 : x
  2. Step 2: Convert to fraction form
    949.75/1,423.64 = 364.62/x
  3. Step 3: Cross multiply
    949.75x = 1,423.64 × 364.62
  4. Step 4: Simplify right side
    949.75x = 519,087.62
  5. Step 5: Solve for x
    x = 519,087.62/949.75
  6. Step 6: Final answer
    x = 546.55

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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.