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Finding the Fourth Proportional to 383.15, 528.75 and 217.37

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Solution

The fourth proportional to 383.15, 528.75 and 217.37 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.15 : 528.75 = 217.37 : x
  2. Step 2: Convert to fraction form
    383.15/528.75 = 217.37/x
  3. Step 3: Cross multiply
    383.15x = 528.75 × 217.37
  4. Step 4: Simplify right side
    383.15x = 114,935.71
  5. Step 5: Solve for x
    x = 114,935.71/383.15
  6. Step 6: Final answer
    x = 299.97

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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.