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Finding the Fourth Proportional to 949.52, 1,423.78 and 333.01

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Solution

The fourth proportional to 949.52, 1,423.78 and 333.01 is: 499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.52 : 1,423.78 = 333.01 : x
  2. Step 2: Convert to fraction form
    949.52/1,423.78 = 333.01/x
  3. Step 3: Cross multiply
    949.52x = 1,423.78 × 333.01
  4. Step 4: Simplify right side
    949.52x = 474,133.92
  5. Step 5: Solve for x
    x = 474,133.92/949.52
  6. Step 6: Final answer
    x = 499.34

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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.