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Finding the Fourth Proportional to 949.65, 1,423.49 and 364.49

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Solution

The fourth proportional to 949.65, 1,423.49 and 364.49 is: 546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.65 : 1,423.49 = 364.49 : x
  2. Step 2: Convert to fraction form
    949.65/1,423.49 = 364.49/x
  3. Step 3: Cross multiply
    949.65x = 1,423.49 × 364.49
  4. Step 4: Simplify right side
    949.65x = 518,846.05
  5. Step 5: Solve for x
    x = 518,846.05/949.65
  6. Step 6: Final answer
    x = 546.36

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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.