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Finding the Fourth Proportional to 656.49, 906.23 and 408.09

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Solution

The fourth proportional to 656.49, 906.23 and 408.09 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.49 : 906.23 = 408.09 : x
  2. Step 2: Convert to fraction form
    656.49/906.23 = 408.09/x
  3. Step 3: Cross multiply
    656.49x = 906.23 × 408.09
  4. Step 4: Simplify right side
    656.49x = 369,823.40
  5. Step 5: Solve for x
    x = 369,823.40/656.49
  6. Step 6: Final answer
    x = 563.33

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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.