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Finding the Fourth Proportional to 657.06, 906.36 and 408.60

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Solution

The fourth proportional to 657.06, 906.36 and 408.60 is: 563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 906.36 = 408.60 : x
  2. Step 2: Convert to fraction form
    657.06/906.36 = 408.60/x
  3. Step 3: Cross multiply
    657.06x = 906.36 × 408.60
  4. Step 4: Simplify right side
    657.06x = 370,338.70
  5. Step 5: Solve for x
    x = 370,338.70/657.06
  6. Step 6: Final answer
    x = 563.63

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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.