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Finding the Fourth Proportional to 617.31, 853.07 and 469.67

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Solution

The fourth proportional to 617.31, 853.07 and 469.67 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.31 : 853.07 = 469.67 : x
  2. Step 2: Convert to fraction form
    617.31/853.07 = 469.67/x
  3. Step 3: Cross multiply
    617.31x = 853.07 × 469.67
  4. Step 4: Simplify right side
    617.31x = 400,654.77
  5. Step 5: Solve for x
    x = 400,654.77/617.31
  6. Step 6: Final answer
    x = 649.03

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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.