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Finding the Fourth Proportional to 333.59, 460.58 and 217.35

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Solution

The fourth proportional to 333.59, 460.58 and 217.35 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.59 : 460.58 = 217.35 : x
  2. Step 2: Convert to fraction form
    333.59/460.58 = 217.35/x
  3. Step 3: Cross multiply
    333.59x = 460.58 × 217.35
  4. Step 4: Simplify right side
    333.59x = 100,105.98
  5. Step 5: Solve for x
    x = 100,105.98/333.59
  6. Step 6: Final answer
    x = 300.09

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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.