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Finding the Fourth Proportional to 383.49, 529.43 and 252.72

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Solution

The fourth proportional to 383.49, 529.43 and 252.72 is: 348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.49 : 529.43 = 252.72 : x
  2. Step 2: Convert to fraction form
    383.49/529.43 = 252.72/x
  3. Step 3: Cross multiply
    383.49x = 529.43 × 252.72
  4. Step 4: Simplify right side
    383.49x = 133,797.55
  5. Step 5: Solve for x
    x = 133,797.55/383.49
  6. Step 6: Final answer
    x = 348.89

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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.