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Finding the Fourth Proportional to 333.52, 460.02 and 217

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Solution

The fourth proportional to 333.52, 460.02 and 217 is: 299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 460.02 = 217 : x
  2. Step 2: Convert to fraction form
    333.52/460.02 = 217/x
  3. Step 3: Cross multiply
    333.52x = 460.02 × 217
  4. Step 4: Simplify right side
    333.52x = 99,824.34
  5. Step 5: Solve for x
    x = 99,824.34/333.52
  6. Step 6: Final answer
    x = 299.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.