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Finding the Fourth Proportional to 617.72, 852.61 and 381.87

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Solution

The fourth proportional to 617.72, 852.61 and 381.87 is: 527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 852.61 = 381.87 : x
  2. Step 2: Convert to fraction form
    617.72/852.61 = 381.87/x
  3. Step 3: Cross multiply
    617.72x = 852.61 × 381.87
  4. Step 4: Simplify right side
    617.72x = 325,586.18
  5. Step 5: Solve for x
    x = 325,586.18/617.72
  6. Step 6: Final answer
    x = 527.08

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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.