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Finding the Fourth Proportional to 462.97, 693.19 and 333.10

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Solution

The fourth proportional to 462.97, 693.19 and 333.10 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.97 : 693.19 = 333.10 : x
  2. Step 2: Convert to fraction form
    462.97/693.19 = 333.10/x
  3. Step 3: Cross multiply
    462.97x = 693.19 × 333.10
  4. Step 4: Simplify right side
    462.97x = 230,901.59
  5. Step 5: Solve for x
    x = 230,901.59/462.97
  6. Step 6: Final answer
    x = 498.74

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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.