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Finding the Fourth Proportional to 657.09, 906.44 and 408.42

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Solution

The fourth proportional to 657.09, 906.44 and 408.42 is: 563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.09 : 906.44 = 408.42 : x
  2. Step 2: Convert to fraction form
    657.09/906.44 = 408.42/x
  3. Step 3: Cross multiply
    657.09x = 906.44 × 408.42
  4. Step 4: Simplify right side
    657.09x = 370,206.18
  5. Step 5: Solve for x
    x = 370,206.18/657.09
  6. Step 6: Final answer
    x = 563.40

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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.