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Finding the Fourth Proportional to 383.64, 529.47 and 252.92

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Solution

The fourth proportional to 383.64, 529.47 and 252.92 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 529.47 = 252.92 : x
  2. Step 2: Convert to fraction form
    383.64/529.47 = 252.92/x
  3. Step 3: Cross multiply
    383.64x = 529.47 × 252.92
  4. Step 4: Simplify right side
    383.64x = 133,910.91
  5. Step 5: Solve for x
    x = 133,910.91/383.64
  6. Step 6: Final answer
    x = 349.05

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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.