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Finding the Fourth Proportional to 657.42, 906.73 and 408.27

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Solution

The fourth proportional to 657.42, 906.73 and 408.27 is: 563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 906.73 = 408.27 : x
  2. Step 2: Convert to fraction form
    657.42/906.73 = 408.27/x
  3. Step 3: Cross multiply
    657.42x = 906.73 × 408.27
  4. Step 4: Simplify right side
    657.42x = 370,193.04
  5. Step 5: Solve for x
    x = 370,193.04/657.42
  6. Step 6: Final answer
    x = 563.10

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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.