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Finding the Fourth Proportional to 656.94, 906.32 and 408.38

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Solution

The fourth proportional to 656.94, 906.32 and 408.38 is: 563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.94 : 906.32 = 408.38 : x
  2. Step 2: Convert to fraction form
    656.94/906.32 = 408.38/x
  3. Step 3: Cross multiply
    656.94x = 906.32 × 408.38
  4. Step 4: Simplify right side
    656.94x = 370,119.45
  5. Step 5: Solve for x
    x = 370,119.45/656.94
  6. Step 6: Final answer
    x = 563.40

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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.