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Finding the Fourth Proportional to 383.14, 528.74 and 217.36

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Solution

The fourth proportional to 383.14, 528.74 and 217.36 is: 299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.14 : 528.74 = 217.36 : x
  2. Step 2: Convert to fraction form
    383.14/528.74 = 217.36/x
  3. Step 3: Cross multiply
    383.14x = 528.74 × 217.36
  4. Step 4: Simplify right side
    383.14x = 114,926.93
  5. Step 5: Solve for x
    x = 114,926.93/383.14
  6. Step 6: Final answer
    x = 299.96

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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.