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Finding the Fourth Proportional to 656.96, 906.68 and 408.42

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Solution

The fourth proportional to 656.96, 906.68 and 408.42 is: 563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 906.68 = 408.42 : x
  2. Step 2: Convert to fraction form
    656.96/906.68 = 408.42/x
  3. Step 3: Cross multiply
    656.96x = 906.68 × 408.42
  4. Step 4: Simplify right side
    656.96x = 370,304.97
  5. Step 5: Solve for x
    x = 370,304.97/656.96
  6. Step 6: Final answer
    x = 563.67

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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.