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Finding the Fourth Proportional to 463.43, 693.63 and 333.02

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Solution

The fourth proportional to 463.43, 693.63 and 333.02 is: 498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.43 : 693.63 = 333.02 : x
  2. Step 2: Convert to fraction form
    463.43/693.63 = 333.02/x
  3. Step 3: Cross multiply
    463.43x = 693.63 × 333.02
  4. Step 4: Simplify right side
    463.43x = 230,994.40
  5. Step 5: Solve for x
    x = 230,994.40/463.43
  6. Step 6: Final answer
    x = 498.44

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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.