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Finding the Fourth Proportional to 617.40, 851.56 and 469.68

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Solution

The fourth proportional to 617.40, 851.56 and 469.68 is: 647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.40 : 851.56 = 469.68 : x
  2. Step 2: Convert to fraction form
    617.40/851.56 = 469.68/x
  3. Step 3: Cross multiply
    617.40x = 851.56 × 469.68
  4. Step 4: Simplify right side
    617.40x = 399,960.70
  5. Step 5: Solve for x
    x = 399,960.70/617.40
  6. Step 6: Final answer
    x = 647.81

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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.