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Finding the Fourth Proportional to 656.78, 906.36 and 408.21

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Solution

The fourth proportional to 656.78, 906.36 and 408.21 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 906.36 = 408.21 : x
  2. Step 2: Convert to fraction form
    656.78/906.36 = 408.21/x
  3. Step 3: Cross multiply
    656.78x = 906.36 × 408.21
  4. Step 4: Simplify right side
    656.78x = 369,980.29
  5. Step 5: Solve for x
    x = 369,980.29/656.78
  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.