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Finding the Fourth Proportional to 333.76, 460.58 and 217.32

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Solution

The fourth proportional to 333.76, 460.58 and 217.32 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 460.58 = 217.32 : x
  2. Step 2: Convert to fraction form
    333.76/460.58 = 217.32/x
  3. Step 3: Cross multiply
    333.76x = 460.58 × 217.32
  4. Step 4: Simplify right side
    333.76x = 100,093.25
  5. Step 5: Solve for x
    x = 100,093.25/333.76
  6. Step 6: Final answer
    x = 299.90

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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.