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Finding the Fourth Proportional to 657.14, 984.28 and 412.47

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Solution

The fourth proportional to 657.14, 984.28 and 412.47 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 984.28 = 412.47 : x
  2. Step 2: Convert to fraction form
    657.14/984.28 = 412.47/x
  3. Step 3: Cross multiply
    657.14x = 984.28 × 412.47
  4. Step 4: Simplify right side
    657.14x = 405,985.97
  5. Step 5: Solve for x
    x = 405,985.97/657.14
  6. Step 6: Final answer
    x = 617.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.