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Finding the Fourth Proportional to 617.31, 851.89 and 384.57

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Solution

The fourth proportional to 617.31, 851.89 and 384.57 is: 530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.31 : 851.89 = 384.57 : x
  2. Step 2: Convert to fraction form
    617.31/851.89 = 384.57/x
  3. Step 3: Cross multiply
    617.31x = 851.89 × 384.57
  4. Step 4: Simplify right side
    617.31x = 327,614.43
  5. Step 5: Solve for x
    x = 327,614.43/617.31
  6. Step 6: Final answer
    x = 530.71

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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.