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Finding the Fourth Proportional to 383.06, 528.64 and 217.29

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Solution

The fourth proportional to 383.06, 528.64 and 217.29 is: 299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 528.64 = 217.29 : x
  2. Step 2: Convert to fraction form
    383.06/528.64 = 217.29/x
  3. Step 3: Cross multiply
    383.06x = 528.64 × 217.29
  4. Step 4: Simplify right side
    383.06x = 114,867.10
  5. Step 5: Solve for x
    x = 114,867.10/383.06
  6. Step 6: Final answer
    x = 299.87

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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.