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Finding the Fourth Proportional to 617.90, 851.10 and 431.05

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Solution

The fourth proportional to 617.90, 851.10 and 431.05 is: 593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.90 : 851.10 = 431.05 : x
  2. Step 2: Convert to fraction form
    617.90/851.10 = 431.05/x
  3. Step 3: Cross multiply
    617.90x = 851.10 × 431.05
  4. Step 4: Simplify right side
    617.90x = 366,864.50
  5. Step 5: Solve for x
    x = 366,864.50/617.90
  6. Step 6: Final answer
    x = 593.73

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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.