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Finding the Fourth Proportional to 657.06, 906.75 and 408.30

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Solution

The fourth proportional to 657.06, 906.75 and 408.30 is: 563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 906.75 = 408.30 : x
  2. Step 2: Convert to fraction form
    657.06/906.75 = 408.30/x
  3. Step 3: Cross multiply
    657.06x = 906.75 × 408.30
  4. Step 4: Simplify right side
    657.06x = 370,226.03
  5. Step 5: Solve for x
    x = 370,226.03/657.06
  6. Step 6: Final answer
    x = 563.46

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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.