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Finding the Fourth Proportional to 617.72, 852.63 and 431.27

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Solution

The fourth proportional to 617.72, 852.63 and 431.27 is: 595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 852.63 = 431.27 : x
  2. Step 2: Convert to fraction form
    617.72/852.63 = 431.27/x
  3. Step 3: Cross multiply
    617.72x = 852.63 × 431.27
  4. Step 4: Simplify right side
    617.72x = 367,709.48
  5. Step 5: Solve for x
    x = 367,709.48/617.72
  6. Step 6: Final answer
    x = 595.27

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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.